The gulgolpentex is equal to E100#100#100#100#(E100#100#100#100#100#100) = E100#100#100#100#100#101 using Hyper-E notation.[1] The term was coined by Sbiis Saibian to show how negligible the effect the -pentex prefix gives to octational level numbers.

Approximations in other notations

Notation Approximation
Up-arrow notation \(100 ↑^{6} 102\)
Chained arrow notation \(100 → 102 → 6\)
Strong array notation \(s(100,102,6)\)
Hyperfactorial array notation \(103!5\)
BEAF \(\{100,102,6\}\)
Fast-growing hierarchy \(f_7(101)\)
Hardy hierarchy \(H_{\omega^7}(101)\)
Slow-growing hierarchy \(g_{\varphi(5,0)}(101)\)

Sources

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