102122102100 has 72 divisors (see below), whose sum is σ = 295703275168. Its totient is φ = 27211363200.

The previous prime is 102122102099. The next prime is 102122102119. The reversal of 102122102100 is 1201221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 255462 + ... + 519138.

Almost surely, 2^102122102100 is an apocalyptic number.

102122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122102100 is an abundant number, since it is smaller than the sum of its proper divisors (193581173068).

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

102122102100 is a wasteful number, since it uses less digits than its factorization.

102122102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264985 (or 264978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122102100 its reverse (1201221201), we get a palindrome (103323323301).

The spelling of 102122102100 in words is "one hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred".