Grand Gigaenormabixul

The Grand Gigaenourmabixul is equal to ((...((200![200(2)200(2)200])![200(2)200(2)200])...)![200(2)200(2)200])![200(2)200(2)200] ( where there are Gigaenourmabixul parentheses ), using Hyperfactorial array notation.