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The gongultreus is equal to $$\{10,100,1,3\}\ \&\ 10$$ using the array of operator and BEAF.[1] It has dukil-googol entries. The term was coined by Cookie Fonster.

Approximations in other notations

Notation Approximation
Bird's array notation $$\{10,100 [1 [1 / 3 \sim 2]1[1 / 3 \sim 2] 2] 2\}$$
Fast-growing hierarchy $$f_{\varphi (2,0,0,0)}(100)$$

Sources

1. Pointless Gigantic List of Numbers - Part 6: The Mighty RoyalsPointless Large Number Stuff. Retrieved 2017-05-27.