WordNet records no synonym and no antonym for administrivia. It is the only member of its synset, 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.
the tiresome but essential details that must be taken care of and tasks that must be performed in running an organization
“he sets policy and leaves all the administrivia to his assistant”
Synonyms, antonyms and the broader and narrower relations for administrivia come from Princeton University’s WordNet. Full sources and licences.