101512331311300 has 72 divisors (see below), whose sum is σ = 271116011034176. Its totient is φ = 32126979576960.

The previous prime is 101512331311283. The next prime is 101512331311309. The reversal of 101512331311300 is 3113133215101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (101512331311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5577591522 + ... + 5577609721.

Almost surely, 2^{101512331311300} is an apocalyptic number.

101512331311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101512331311300 is an abundant number, since it is smaller than the sum of its proper divisors (169603679722876).

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

101512331311300 is a wasteful number, since it uses less digits than its factorization.

101512331311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155201277 (or 11155201270 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

Adding to 101512331311300 its reverse (3113133215101), we get a palindrome (104625464526401).

The spelling of 101512331311300 in words is "one hundred one trillion, five hundred twelve billion, three hundred thirty-one million, three hundred eleven thousand, three hundred".