The expression “tongues of men and tongues of angels” appear only in 1 Corinthians 13:1. The “tongues of men” probably refers to the gift of tongues given on the Day of Pentecost. On that occasion, when the Holy Spirit came upon the apostles, they were able to speak in foreign languages, and they were understood by the men they spoke to (Acts 2:4-12). God gave them the ability to speak a foreign language as a sign (1 Corinthians 14:1-33).
The expression “tongues of angels” may simply mean, within the context of that passage, that regardless of how gifted the recipients of this supernatural ability may be, whatever is spoken (even in the hypothetical speech of angels), it is all meaningless without the gift of love. Without love, one’s speech is no better than the useless babble of the pagan religions. The pagan culture of Corinth honoured their gods in ritualistic ceremonies accompanied by loud musical instruments such as gongs, cymbals, and trumpets. Their worship was a chaotic cacophony.
When Paul speaks of faith that can remove mountains (in the very next verse), he is using hyperbolic language to make a point. It’s a form of exaggeration to emphasise the point that showing God-given love is the most important gift of all.
If you want to know if there is a Greek word that suggests "tongues of angels" are the tongues spoken by Pentecostals, Oneness Apostolics, and others, you would have to ask in Biblical Hermeneutics.