WordNet records no synonym and no antonym for mulch. 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.
a protective covering of rotting vegetable matter spread to reduce evaporation and soil erosion
cover with mulch
“mulch the flowerbeds”
Synonyms, antonyms and the broader and narrower relations for mulch come from Princeton University’s WordNet. Full sources and licences.