101031312100 has 36 divisors (see below), whose sum is σ = 220350873204. Its totient is φ = 40207377280.

The previous prime is 101031312097. The next prime is 101031312113. The reversal of 101031312100 is 1213130101.

It can be written as a sum of positive squares in 6 ways, for example, as 22859625636 + 78171686464 = 151194^2 + 279592^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2544547 + ... + 2583946.

It is an arithmetic number, because the mean of its divisors is an integer number (6120857589).

Almost surely, 2^101031312100 is an apocalyptic number.

101031312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101031312100 is an abundant number, since it is smaller than the sum of its proper divisors (119319561104).

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

101031312100 is a wasteful number, since it uses less digits than its factorization.

101031312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128704 (or 5128697 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101031312100 its reverse (1213130101), we get a palindrome (102244442201).

The spelling of 101031312100 in words is "one hundred one billion, thirty-one million, three hundred twelve thousand, one hundred".