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"Tetoogol" redirects here. It is not to be confused with tetroogol.

Geegol is equal to $$\{10,100,4\}$$ in BEAF, or 10 hexated to 100.[1] It can also be written as 10{4}100 in the bracket-operator notation. In up-arrow notation, this number is written as $$10 \uparrow\uparrow\uparrow\uparrow 100$$. The term was coined by Jonathan Bowers.

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

Username5243 calls this number Tetoogol, and it's equal to 10[4]100 in Username5243's Array Notation.[3]

It can be computated in the following process:

Stage 1: 10

Stage 2: 10^10^...10^10 with Stage 1 10s

Stage 3: 10^10^...10^10 with Stage 2 10s

......

Geegol is Stage Stage ...... Stage Stage 1 with 100 stages.

## Approximations

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow\uparrow\uparrow 100$$ (exact)
Bird's array notation $$\{10,100,4\}$$ (exact)
Hyper-E notation $$\textrm{E}1\#1\#1\#100$$ (exact)
Steinhaus-Moser Notation 100[6]
Chained arrow notation $$10 \rightarrow 100 \rightarrow 4$$ (exact)
Hyperfactorial array notation $$102!3$$
Strong array notation s(10,100,4) (exact)
Fast-growing hierarchy $$f_5(100)$$
Hardy hierarchy $$H_{\omega^5}(100)$$
Slow-growing hierarchy $$g_{\eta_0}(100)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-04-01.
3. Username5243. Shortened listMy Large Numbers. Retrieved 2017-05-02.

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