102313211100300 has 72 divisors (see below), whose sum is σ = 328918026805200. Its totient is φ = 27283522959360.

The previous prime is 102313211100299. The next prime is 102313211100377. The reversal of 102313211100300 is 3001112313201.

102313211100300 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 321 + 1 + 10 + 0 + 300 = 666.

It is a super-2 number, since 2×102313211100300² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18946888245 + ... + 18946893644.

It is an arithmetic number, because the mean of its divisors is an integer number (4568305927850).

Almost surely, 2^{102313211100300} is an apocalyptic number.

102313211100300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102313211100300 is an abundant number, since it is smaller than the sum of its proper divisors (226604815704900).

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

102313211100300 is a wasteful number, since it uses less digits than its factorization.

102313211100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37893781912 (or 37893781899 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102313211100300 its reverse (3001112313201), we get a palindrome (105314323413501).

The spelling of 102313211100300 in words is "one hundred two trillion, three hundred thirteen billion, two hundred eleven million, one hundred thousand, three hundred".