102221210122200 has 144 divisors (see below), whose sum is σ = 369700043359920. Its totient is φ = 25162144024320.

The previous prime is 102221210122133. The next prime is 102221210122279. The reversal of 102221210122200 is 2221012122201.

It is a happy number.

102221210122200 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 210 + 12 + 220 + 0 = 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2184190492 + ... + 2184237291.

Almost surely, 2^{102221210122200} is an apocalyptic number.

102221210122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221210122200 is an abundant number, since it is smaller than the sum of its proper divisors (267478833237720).

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

102221210122200 is a wasteful number, since it uses less digits than its factorization.

102221210122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368427818 (or 4368427806 counting only the distinct ones).

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

Adding to 102221210122200 its reverse (2221012122201), we get a palindrome (104442222244401).

The spelling of 102221210122200 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, two hundred".