Grangolplex

The grangolplex is equal to E100#101 = EEE...EEE100 (101 E's) = 101010...1010100 (101 10's) = 10grangol using Hyper-E notation, or 1 followed by grangol zeroes. The term was coined by Sbiis Saibian. This number is comparable to giggolduunex.
Occasionally, grangolplex is another name for googolcentiplex, since googol-n-plex = E100#(n+1).Plexing & The Googol Series - Large Numbers by Sbiis Saibian It is between 10 ↑↑ 102 and 10 ↑↑ 103 in up-arrow notation. Define the recursive function: f(0) = googol f(n) = 10f(n-1) Googolcentiplex is equal to f(100).
== Etymology ==
For googolcentiplex:
The name "googolcentiplex" is based on SI prefix "centi-" and the number "googolplex".
For grangolplex:
The name "grangolplex" is based on 2 parts, which are grangol and the suffix -plex.
== Approximations in other notations ==
Notation 	Approximation
Up-arrow notation 	\(100 \uparrow\uparrow 102\)
Chained arrow notation 	\(100 \rightarrow 102 \rightarrow 2\)
BEAF 	\(\{100,102,2\}\)
Hyperfactorial array notation	\(103!1\)
Hyper-E Notation 	\(\textrm{E}100\#101\)
Fast-growing hierarchy 	\(f_3(103)\)
Hardy hierarchy 	\(H_{\omega^3}(103)\)
Slow-growing hierarchy 	\(g_{\varepsilon_0}(103)\)
==Sources ==
==See also==
ja:グーゴルセンチプレックス
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Hyper-E numbers
Category:Tetration level
Category:Googol series
Category:Grangol regiment