102210120102200 has 96 divisors (see below), whose sum is σ = 259662200711760. Its totient is φ = 37107077145600.

The previous prime is 102210120102191. The next prime is 102210120102271. The reversal of 102210120102200 is 2201021012201.

It is a super-3 number, since 3×102210120102200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36291827 + ... + 39006626.

Almost surely, 2^{102210120102200} is an apocalyptic number.

102210120102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210120102200 is an abundant number, since it is smaller than the sum of its proper divisors (157452080609560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102210120102200 is a wasteful number, since it uses less digits than its factorization.

102210120102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75299097 (or 75299088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210120102200 its reverse (2201021012201), we get a palindrome (104411141114401).

The spelling of 102210120102200 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, one hundred two thousand, two hundred".