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The grangolplex is equal to E100#101 in Hyper-E notation,[1] or 101010...1010100 with 101 10's 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).[2] 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 $$g_{\varepsilon_0}(103)$$