The trait of not being dependable or reliable(noun)
WordNet. Princeton University. 2010.
Use "undependableness" in a sentence
"The older "Queen's knights" must have naturally felt her devotion to him; his "undependableness" -- in consequence not merely of his fits of madness but of his chivalrously permissible but very inconvenient habit of disguising himself and taking the other side -- must have annoyed the whole Table."