Yuqi is from the Mandarin Chinese yǔ (宇 — universe) + qí (琦 — beautiful jade). Princess Yuqi — Chinese-Korean heritage naming.
Yuqi 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 Yuqi reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.