Protima is from the Sanskrit pratimā (प्रतिमा — image, statue). Protima Bedi (Protima Gupta, 1948-1998) was an Indian model and classical Odissi dancer — and founder of Nrityagram (1990), India's first modern dance commune for classical dance, located outside Bangalore.
Protima 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 Protima reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.