Alexis is from the Greek alexis — "defender, helper" — short form of Alexandros ("defender of men"). Alexis de Tocqueville is male (French historian, Democracy in America 1835).
Alexis 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 Alexis reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.