102021222212100 has 54 divisors (see below), whose sum is σ = 319779853180970. Its totient is φ = 27205659256320.

The previous prime is 102021222212081. The next prime is 102021222212149. The reversal of 102021222212100 is 1212222120201.

It is a happy number.

102021222212100 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 2 + 221 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28235046359556 + 73786175852544 = 5313666^2 + 8589888^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56678455885 + ... + 56678457684.

Almost surely, 2^{102021222212100} is an apocalyptic number.

102021222212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021222212100 is an abundant number, since it is smaller than the sum of its proper divisors (217758630968870).

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

102021222212100 is a wasteful number, since it uses less digits than its factorization.

102021222212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113356913589 (or 113356913579 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021222212100 its reverse (1212222120201), we get a palindrome (103233444332301).

The spelling of 102021222212100 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".