ETYM Cf. French omniprésence.
Presence in every place at the same time; unbounded or universal presence; ubiquity.

ETYM Latin praevalentia: cf. French prévalence. Related to Prevail.
1. The quality of prevailing generally; being widespread.
2. The degree to which something is prevalent; especially; the percentage of a population that is affected with a particular disease at a given time.

ETYM Latin ubique everywhere, from ubi where, perhaps for cubi, quobi (cf. alicubi anywhere), and if so akin to Eng. who: cf. French ubiquité.
The state of being everywhere at once (or seeming to be everywhere at once); SYN. ubiquitousness, omnipresence.
State of being everywhere.