102212210113200 has 450 divisors, whose sum is σ = 403211410872732. Its totient is φ = 24778716652800.

The previous prime is 102212210113193. The next prime is 102212210113201. The reversal of 102212210113200 is 2311012212201.

102212210113200 is a `hidden beast` number, since 1 + 0 + 221 + 22 + 101 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is not an unprimeable number, because it can be changed into a prime (102212210113201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9115542 + ... + 16956341.

Almost surely, 2^{102212210113200} is an apocalyptic number.

102212210113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212210113200 is an abundant number, since it is smaller than the sum of its proper divisors (300999200759532).

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

102212210113200 is a wasteful number, since it uses less digits than its factorization.

102212210113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26071935 (or 26071904 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102212210113200 its reverse (2311012212201), we get a palindrome (104523222325401).

The spelling of 102212210113200 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, one hundred thirteen thousand, two hundred".