noun
at the height of one's popularity; at the peak of one's popularity
Describes a person or thing at the very top of public favor. Often used in the pattern 人気絶頂の〜 or 人気絶頂にある.
彼は今、人気絶頂の歌手だ。
He is now a singer at the height of his popularity.
そのバンドは90年代に人気絶頂だった。
That band was at the peak of its popularity in the 90s.
Compound of 人気 (popularity) and 絶頂 (peak, summit). The exact historical derivation is uncertain, but the meaning is transparent from its components.