102201222112200 has 192 divisors, whose sum is σ = 352425119092800. Its totient is φ = 27222793113600.

The previous prime is 102201222112193. The next prime is 102201222112211. The reversal of 102201222112200 is 2211222102201.

It is a happy number.

102201222112200 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 2 + 221 + 1 + 220 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5948761 + ... + 15485160.

It is an arithmetic number, because the mean of its divisors is an integer number (1835547495275).

Almost surely, 2^{102201222112200} is an apocalyptic number.

102201222112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201222112200 is an abundant number, since it is smaller than the sum of its proper divisors (250223896980600).

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

102201222112200 is a wasteful number, since it uses less digits than its factorization.

102201222112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21434829 (or 21434814 counting only the distinct ones).

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

Adding to 102201222112200 its reverse (2211222102201), we get a palindrome (104412444214401).

Subtracting from 102201222112200 its reverse (2211222102201), we obtain a palindrome (99990000009999).

The spelling of 102201222112200 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".