102113121211200 has 252 divisors, whose sum is σ = 395928156425568. Its totient is φ = 24754696012800.

The previous prime is 102113121211187. The next prime is 102113121211307. The reversal of 102113121211200 is 2112121311201.

It is a happy number.

102113121211200 is a `hidden beast` number, since 1 + 0 + 211 + 31 + 212 + 11 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 322168372 + ... + 322485171.

Almost surely, 2^{102113121211200} is an apocalyptic number.

102113121211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113121211200 is an abundant number, since it is smaller than the sum of its proper divisors (293815035214368).

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

102113121211200 is a wasteful number, since it uses less digits than its factorization.

102113121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644653582 (or 644653564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102113121211200 its reverse (2112121311201), we get a palindrome (104225242522401).

The spelling of 102113121211200 in words is "one hundred two trillion, one hundred thirteen billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".