dirtiness

The state of being dirty; filthiness; foulness; nastiness; baseness; sordidness.

noun

1. The condition or state of being dirty: filth, filthiness, foulness, griminess, grubbiness, smuttiness, squalor, uncleanliness, uncleanness. See clean/dirty.
2. Impure condition: defilement, foulness, impurity, pollution, uncleanness, unwholesomeness. See clean/dirty.
3. The quality or state of being obscene: bawdiness, coarseness, filthiness, foulness, grossness, lewdness, obscenity, profaneness, profanity, scurrility, scurrilousness, smuttiness, vulgarity, vulgarness. Slang raunch, raunchiness. See decent/indecent.

The noun has 3 meanings:

Meaning #1: the state of being unsanitary
  Synonym: uncleanness
  Antonym: cleanness (meaning #1)

Meaning #2: the state of containing dirty impurities

Meaning #3: obscenity in speech or writing
  Synonym: smuttiness