Centitriation refers to the 103rd hyperoperation. It is equal to the binary function $$\uparrow^{101}$$ using Knuth's up-arrow notation. [1] "a centitriated to b" is also $$\{a,b,101\}$$ in BEAF, $$\textrm E[a]\underbrace{1\#1\#1...1\#1\#1}_{100}\#b$$ in Hyper-E notation and $$a \rightarrow b \rightarrow 101$$ in chained arrow notation.
Centitriational growth rate is equivalent to $$f_{102}(n)$$ in the fast-growing hierarchy.