102202100211200 has 240 divisors, whose sum is σ = 288243258500736. Its totient is φ = 35548555468800.

The previous prime is 102202100211077. The next prime is 102202100211209. The reversal of 102202100211200 is 2112001202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202100211209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12541322 + ... + 19018121.

Almost surely, 2^{102202100211200} is an apocalyptic number.

102202100211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202100211200 is an abundant number, since it is smaller than the sum of its proper divisors (186041158289536).

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

102202100211200 is a wasteful number, since it uses less digits than its factorization.

102202100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31559505 (or 31559484 counting only the distinct ones).

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

Adding to 102202100211200 its reverse (2112001202201), we get a palindrome (104314101413401).

The spelling of 102202100211200 in words is "one hundred two trillion, two hundred two billion, one hundred million, two hundred eleven thousand, two hundred".