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Gaggol is equal to $$\{10,100,3\}$$ in BEAF, or 10 pentated to 100.[1] In tetra-tower form, this is equal to 1010...1010 with 100 tens. The term was coined by Jonathan Bowers.

This number is also called hecta-taxis (formerly hecta-teraksys) by Sbiis Saibian, and it's equal to E1#1#100 in Hyper-E Notation.[2]

Username5243 calls this number Toogol, and it's equal to 10[3]100 in Username5243's Array Notation.[3]

DeepLineMadom calls this number quidoogol, and it's equal to 10[5]100 using DeepLineMadom's Array Notation.[4]

## Approximations

Notation Approximation
Arrow Notation $$10\uparrow\uparrow\uparrow100$$ (exact)
Bird's array notation $$\{10,100,3\}$$ (exact)
Hyper-E notation $$\textrm E1\#1\#100$$ (exact)
Chained arrow notation $$10 \rightarrow 100 \rightarrow 3$$ (exact)
Hyperfactorial array notation $$102!2$$
Nested Factorial Notation $$100![3]$$
Fast-growing hierarchy $$f_4(98)$$
Hardy hierarchy $$H_{\omega^4}(100)$$
Slow-growing hierarchy $$g_{\zeta_0}(100)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-03-18.
3. Username5243. Shortened listMy Large Numbers. Retrieved 2017-05-02.
4. DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintoggol · quintagol · (sextoogol · septoogol · octoogol)
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol