102102212122100 has 72 divisors (see below), whose sum is σ = 225400008585528. Its totient is φ = 40134606220800.

The previous prime is 102102212122087. The next prime is 102102212122111. The reversal of 102102212122100 is 1221212201201.

It can be written as a sum of positive squares in 12 ways, for example, as 2161523324944 + 99940688797156 = 1470212^2 + 9997034^2 .

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, 989639 + ... + 14324238.

It is an arithmetic number, because the mean of its divisors is an integer number (3130555674799).

Almost surely, 2^{102102212122100} is an apocalyptic number.

102102212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102212122100 is an abundant number, since it is smaller than the sum of its proper divisors (123297796463428).

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

102102212122100 is a wasteful number, since it uses less digits than its factorization.

102102212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315045 (or 15315038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102102212122100 its reverse (1221212201201), we get a palindrome (103323424323301).

The spelling of 102102212122100 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".