ubiquity

n.
Existence or apparent existence everywhere at the same time; omnipresence: "the repetitiveness, the selfsameness, and the ubiquity of modern mass culture" (Theodor Adorno ).

[New Latin ubīquitās, from Latin ubīque, everywhere : ubī, where + -que, and, generalizing particle.]

A cynical view of the world by Ambrose Bierce

n.

The gift or power of being in all places at one time, but not in all places at all times, which is omnipresence, an attribute of God and the luminiferous ether only. This important distinction between ubiquity and omnipresence was not clear to the mediaeval Church and there was much bloodshed about it. Certain Lutherans, who affirmed the presence everywhere of Christ's body were known as Ubiquitarians. For this error they were doubtless damned, for Christ's body is present only in the eucharist, though that sacrament may be performed in more than one place simultaneously. In recent times ubiquity has not always been understood -- not even by Sir Boyle Roche, for example, who held that a man cannot be in two places at once unless he is a bird.

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The noun has one meaning:

Meaning #1: the state of being everywhere at once (or seeming to be everywhere at once)
  Synonyms: ubiquitousness, omnipresence

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