Grand Gigahugetrixul

The Grand Gigahugetrixul is equal to ((...((200![200(1)200(1)200(1)200])![200(1)200(1)200(1)200])...)![200(1)200(1)200(1)200])![200(1)200(1)200(1)200] ( where there are Gigahugetrixul parentheses ), using Hyperfactorial array notation.