'annihilability' originates from English, specifically the word 'annihilable' plus the suffix '-ity', where the root 'annihil-' comes from Latin 'annihilare' (from 'ad-' + 'nihil') and 'nihil' meant 'nothing'.

'annihilability' changed from Latin 'annihilare' -> through Late Latin and Old French adaptations (e.g. 'anihiler') -> Middle/Modern English 'annihilate' and 'annihilation' -> adjective 'annihilable' -> noun formation 'annihilability'.

Initially, the Latin root meant 'to make into nothing' (to reduce to nothing); over time the sense remained centered on destruction or obliteration but extended to abstract formations denoting the capability or property of being destroyed, producing 'annihilability'.