worthlessness

worthless +‎ -ness

worthlessness (usually uncountable, plural worthlessnesses)

1. The quality of lacking worth, of being valueless, useless or devoid of benefit.

   1905 This sort of fat instead of indicating health points to disease. This general teaching as to the worthlessness of alcohol as a food had been set forth by the leaders in medical profession, and accepted largely by the rank and file of practitioners for about twenty-five years. — Carry Nation, The Use and Need of the Life of Carry A. Nation, Chapter 28.