Fzgoogol

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"Triangol" redirects here. It is not to be confused with triangrol.

Fzgoogol is equal to googol^googol = (10¹⁰⁰)^10¹⁰⁰ = 10^{100*10¹⁰⁰} = 10^10¹⁰². The name is formed by applying the fz- prefix to a googol.^[1]^[2]^[3] Written as 10^10¹⁰² it looks only slightly larger than a googolplex, though in reality you need to raise a googolplex to the 100th power to get a fzgoogol. It is 1 followed by exactly 100 times as many zeros as a googolplex has. It is equal to 1 followed by trestrigintillion (short scale) or septendecillion (long scale) zeroes. This number is slightly larger than a googolplex. It is 10¹⁰²+1 digits long.

Writing down the full decimal expansion would take 10⁹⁶ books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).

A fzgoogol is also an upper-bound to the googolbang.

SuperJedi224 calls this number Triangol (short for "triangle googol"), and it's equal to 10¹⁰⁰ in a triangle in Steinhaus-Moser Notation.^[4]

RedBandServerYT calls this number googesimal-googolplex^[5].

Names in -illion systems[]

In the short scale, it is also called:

ten trestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilliduotrigintatrecentillion

According to Landon Curt Noll's The English name of a number, fzgoogol is also known as:

ten trecentretriginmillia^33trecentretriginmillia^32trecentretriginmillia^31trecentretriginmillia^30trecentretriginmillia^29trecentretriginmillia^28trecentretriginmillia^27trecentretriginmillia^26trecentretriginmillia^25trecentretriginmillia^24trecentretriginmillia^23trecentretriginmillia^22trecentretriginmillia^21trecentretriginmillia^20trecentretriginmillia^19trecentretriginmillia^18trecentretriginmillia^17trecentretriginmillia^16trecentretriginmillia^15trecentretriginmillia^14trecentretriginmillia^13trecentretriginmillia^12trecentretriginmillia^11trecentretriginmillia^10trecentretriginmillia^9trecentretriginmillia^8trecentretriginmillia^7trecentretriginmillia^6trecentretriginmillia^5trecentretriginmillia^4trecentretriginmillia^3trecentretriginmillia^2trecentretriginmilliatrecenduotrigintillion

In Jonathan Bowers' -illion system, fzgoogol also known as:

ten tretrigintitrecentitriotriaconto-tretrigintitrecentiduetriaconto-tretrigintitrecentimetriaconto-tretrigintitrecentitriaconto-tretrigintitrecentienneicoso-tretrigintitrecentiocteicoso-tretrigintitrecentihepteicoso-tretrigintitrecentihexeicoso-tretrigintitrecentipenteicoso-tretrigintitrecentitetreicoso-tretrigintitrecentitrioicoso-tretrigintitrecentidueicoso-tretrigintitrecentimeicoso-tretrigintitrecentiicoso-tretrigintitrecentienneco-tretrigintitrecentiocteco-tretrigintitrecentihepteco-tretrigintitrecentihexeco-tretrigintitrecentipenteco-tretrigintitrecentitetreco-tretrigintitrecentitreco-tretrigintitrecentidueco-tretrigintitrecentimeco-tretrigintitrecentiveco-tretrigintitrecentixono-tretrigintitrecentiyocto-tretrigintitrecentizepto-tretrigintitrecentiatto-tretrigintitrecentifemto-tretrigintitrecentipico-tretrigintitrecentinano-tretrigintitrecentimicro-tretrigintitrecentimilli-doetrigintitrecentillion

Approximations[]

Notation	Lower bound	Upper bound
Arrow notation	\(10\uparrow10\uparrow102\)
Down-arrow notation	\(10\downarrow\downarrow103\)
Steinhaus-Moser Notation	10¹⁰⁰[3]
Copy notation	9[9[102]]	1[1[103]]
Chained arrow notation	\(10\rightarrow(10\rightarrow102)\)
H* function	H(333H(32))	H(334H(32))
Taro's multivariable Ackermann function	A(3,A(3,337))	A(3,A(3,338))
Pound-Star Notation	#((1))(0,6,1,4,5)*7	#((1))(7,4,0,4,1)*8
PlantStar's Debut Notation	[1,60]	[1,61]
BEAF & Bird's array notation	{10,{10,102}}
Hyper-E notation	E102#2
Bashicu matrix system	(0)(1)[18]	(0)(1)[19]
Hyperfactorial array notation	(69!)!	(70!)!
Strong array notation	s(10,s(10,102))
Fast-growing hierarchy	\(f_2(f_2(332))\)	\(f_2(f_2(333))\)
Hardy hierarchy	\(H_{\omega^22}(332)\)	\(H_{\omega^22}(333)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^{\omega^2+2}}}(10)\)