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Giggol
100000.....00000    99

100000.....00000

100000.....00000
100000.....00000
10000000000
Giggol in zeroes

Giggol is equal to $$\lbrace10,100,2\rbrace$$ in BEAF, or 10 tetrated to 100.[1] Thus, it's 10010 = 1010...1010, where there are 100 tens. The term was coined by Jonathan Bowers. The Megafugahundred can be a good upper bound.

This number is also called hectalogue by Sbiis Saibian, and it's equal to E1#100 = E10#99 = E1010#98 in Hyper-E Notation.[2][3]

It was the last number listed in Robert Munafo's Notable Properties of Specific Numbers.[4] In February 2013, it was superseded by mega.

Username5243 calls this number doogol, and it's equal to 10[2]100 in Username5243's Array Notation.[5]

## Approximations

Notation Lower bound Upper bound
Arrow notation $$10 \uparrow\uparrow 100$$
Steinhaus-Moser Notation $$99[4]$$ $$100[4]$$
Chained arrow notation $$10 \rightarrow 100 \rightarrow 2$$
Hyper-E notation $$\textrm{E}1\#100$$
Hyperfactorial array notation $$100!1$$ $$101!1$$
Nested Factorial Notation $$100![2]$$ $$101![2]$$
Fast-growing hierarchy $$f_3(98)$$ $$f_3(99)$$
Hardy hierarchy $$H_{\omega^3}(99)$$ $$H_{\omega^3}(100)$$
Slow-growing hierarchy $$g_{\varepsilon_0}(99)$$ $$g_{\varepsilon_0}(100)$$

## Sources

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