WordNet records no synonym and no antonym for sultriness. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
oppressively hot and humid weather
the quality of expressing or arousing sexual desire
“the sultriness of her look was unmistakable”
Synonyms, antonyms and the broader and narrower relations for sultriness come from Princeton University’s WordNet. Full sources and licences.