Insignificance

Definition:

(n.) The condition or quality of being insignificant; want of significance, sense, or meaning; as, the insignificance of words or phrases.
(n.) Want of force or effect; unimportance; pettiness; inefficacy; as, the insignificance of human art.
(n.) Want of claim to consideration or notice; want of influence or standing; meanness.

Compare insignificance with other words:

insignificance vs. irrelevant