Monique is the French form of Monica — possibly from the Greek monos (alone, solitary) or the African Berber name Mūnaq. Monique Lhuillier — Filipino-American bridal designer. Monique Sluyter — Miss Universe Netherlands 1994.
Monique does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Monique reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.