102113112210300 has 90 divisors (see below), whose sum is σ = 331010368829448. Its totient is φ = 27230163253920.

The previous prime is 102113112210299. The next prime is 102113112210337. The reversal of 102113112210300 is 3012211311201.

102113112210300 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 311 + 22 + 10 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 (31) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6303270432 + ... + 6303286631.

Almost surely, 2^{102113112210300} is an apocalyptic number.

102113112210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113112210300 is an abundant number, since it is smaller than the sum of its proper divisors (228897256619148).

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

102113112210300 is a wasteful number, since it uses less digits than its factorization.

102113112210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606557089 (or 12606557073 counting only the distinct ones).

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

Adding to 102113112210300 its reverse (3012211311201), we get a palindrome (105125323521501).

The spelling of 102113112210300 in words is "one hundred two trillion, one hundred thirteen billion, one hundred twelve million, two hundred ten thousand, three hundred".