102021222121200 has 360 divisors, whose sum is σ = 375340074185856. Its totient is φ = 25616487168000.

The previous prime is 102021222121199. The next prime is 102021222121219. The reversal of 102021222121200 is 2121222120201.

It is a happy number.

102021222121200 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 221 + 212 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8224431 + ... + 16482830.

Almost surely, 2^{102021222121200} is an apocalyptic number.

102021222121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021222121200 is an abundant number, since it is smaller than the sum of its proper divisors (273318852064656).

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

102021222121200 is a wasteful number, since it uses less digits than its factorization.

102021222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24707353 (or 24707339 counting only the distinct ones).

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

Adding to 102021222121200 its reverse (2121222120201), we get a palindrome (104142444241401).

Subtracting from 102021222121200 its reverse (2121222120201), we obtain a palindrome (99900000000999).

The spelling of 102021222121200 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".