spitefulness

noun

1. A desire to harm others or to see others suffer: despitefulness, ill will, malevolence, malice, maliciousness, malignancy, malignity, meanness, nastiness, poisonousness, spite, venomousness, viciousness. See attitude/good attitude/bad attitude/neutral attitude.
2. The quality or condition of being vindictive: revenge, spite, vengefulness, vindictiveness. See forgiveness/vindictiveness.

The noun has 2 meanings:

Meaning #1: feeling a need to see others suffer
  Synonyms: malice, maliciousness, spite, venom

Meaning #2: malevolence by virtue of being malicious or spiteful or nasty
  Synonyms: cattiness, bitchiness, spite, nastiness