unsympathizabilityn.
Etymology: Previous versions of the OED give the stress as: unsympathizaˈbility.
the mind > emotion > compassion > pitilessness > [noun] > lack of sympathy > state or quality of not evoking sympathy
a1834 S. T. Coleridge (1836) I. 144 A craving for sympathy in exact proportion to the oddity and unsympathizability of what he proposes.
This entry has not yet been fully updated (first published 1926; most recently modified version published online September 2020).