Hisgalus 20:10

And HaSatan, the one deceiving them, was cast into the Agam HaEish (fire) and gofrit (sulfur), where both the Chayyah [Anti-Moshiach] and the Navi Sheker (False Prophet) were, and they will be tormented yomam v'lailah l'Olemei Olamim (day and night forever and ever).