102111220222200 has 288 divisors, whose sum is σ = 391921400201760. Its totient is φ = 23339182694400.

The previous prime is 102111220222199. The next prime is 102111220222237. The reversal of 102111220222200 is 2222022111201.

It is a happy number.

102111220222200 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 1 + 220 + 222 + 200 = 666.

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, 971168032 + ... + 971273168.

It is an arithmetic number, because the mean of its divisors is an integer number (1360838195145).

Almost surely, 2^{102111220222200} is an apocalyptic number.

102111220222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111220222200 is an abundant number, since it is smaller than the sum of its proper divisors (289810179979560).

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

102111220222200 is a wasteful number, since it uses less digits than its factorization.

102111220222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182247 (or 182235 counting only the distinct ones).

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

Adding to 102111220222200 its reverse (2222022111201), we get a palindrome (104333242333401).

The spelling of 102111220222200 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".