powerlessness

noun

1. Lack of ability or capacity: inability, incapability, incapacity, incompetence, incompetency. See ability/inability.
2. The condition or state of being incapable of accomplishing or effecting anything: helplessness, impotence, inadequacy, incapability, ineffectiveness, ineffectuality, ineffectualness, inefficacy, uselessness. See affect/ineffectiveness, strong/weak.

The noun has one meaning:

Meaning #1: the quality of lacking strength or power; being weak and feeble
  Synonyms: impotence, impotency
  Antonym: power (meaning #1)