102212022102100 has 36 divisors (see below), whose sum is σ = 224924032878048. Its totient is φ = 40308966460000.

The previous prime is 102212022102023. The next prime is 102212022102109. The reversal of 102212022102100 is 1201220212201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212022102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7198022626 + ... + 7198036825.

It is an arithmetic number, because the mean of its divisors is an integer number (6247889802168).

Almost surely, 2^{102212022102100} is an apocalyptic number.

102212022102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212022102100 is an abundant number, since it is smaller than the sum of its proper divisors (122712010775948).

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

102212022102100 is a wasteful number, since it uses less digits than its factorization.

102212022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396059536 (or 14396059529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212022102100 its reverse (1201220212201), we get a palindrome (103413242314301).

The spelling of 102212022102100 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, one hundred two thousand, one hundred".