102211102113300 has 108 divisors (see below), whose sum is σ = 320870193055776. Its totient is φ = 27214166548800.

The previous prime is 102211102113299. The next prime is 102211102113313. The reversal of 102211102113300 is 3311201112201.

102211102113300 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 102 + 11 + 330 + 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87182686 + ... + 88347285.

It is an arithmetic number, because the mean of its divisors is an integer number (2971020306072).

Almost surely, 2^{102211102113300} is an apocalyptic number.

102211102113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211102113300 is an abundant number, since it is smaller than the sum of its proper divisors (218659090942476).

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

102211102113300 is a wasteful number, since it uses less digits than its factorization.

102211102113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175530638 (or 175530628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102211102113300 its reverse (3311201112201), we get a palindrome (105522303225501).

The spelling of 102211102113300 in words is "one hundred two trillion, two hundred eleven billion, one hundred two million, one hundred thirteen thousand, three hundred".