102200211222120 has 288 divisors, whose sum is σ = 378785358413280. Its totient is φ = 23698599217920.

The previous prime is 102200211222107. The next prime is 102200211222139. The reversal of 102200211222120 is 21222112002201.

It is a happy number.

102200211222120 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 211 + 22 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102200211222093 and 102200211222102.

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, 22298482 + ... + 26488161.

It is an arithmetic number, because the mean of its divisors is an integer number (1315226938935).

Almost surely, 2^{102200211222120} is an apocalyptic number.

102200211222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200211222120 is an abundant number, since it is smaller than the sum of its proper divisors (276585147191160).

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

102200211222120 is a wasteful number, since it uses less digits than its factorization.

102200211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48786717 (or 48786687 counting only the distinct ones).

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

Adding to 102200211222120 its reverse (21222112002201), we get a palindrome (123422323224321).

The spelling of 102200211222120 in words is "one hundred two trillion, two hundred billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".