102111202022100 has 72 divisors (see below), whose sum is σ = 295452937718400. Its totient is φ = 27228622241280.

The previous prime is 102111202022077. The next prime is 102111202022143. The reversal of 102111202022100 is 1220202111201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102111202022100.

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, 1500229 + ... + 14369171.

Almost surely, 2^{102111202022100} is an apocalyptic number.

102111202022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111202022100 is an abundant number, since it is smaller than the sum of its proper divisors (193341735696300).

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

102111202022100 is a wasteful number, since it uses less digits than its factorization.

102111202022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895409 (or 12895402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102111202022100 its reverse (1220202111201), we get a palindrome (103331404133301).

The spelling of 102111202022100 in words is "one hundred two trillion, one hundred eleven billion, two hundred two million, twenty-two thousand, one hundred".