The headword seems to refer to an imaginary place: "Limitless-land" (LSJ). Homer, Odyssey 7.8-9: "an aged dame from Apeire, the chambermaid Eurymedousa, whom long ago the curved ships had brought from Apeire" (web address 1). The scholia there provide the glosses here (and, according to Adler, in the Ambrosian Lexicon); the second, implying another etymology, is also in Hesychius.