101031112400 has 60 divisors (see below), whose sum is σ = 242767339500. Its totient is φ = 40405770240.

The previous prime is 101031112381. The next prime is 101031112409. The reversal of 101031112400 is 4211130101.

It can be written as a sum of positive squares in 6 ways, for example, as 7866980416 + 93164131984 = 88696^2 + 305228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031112409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2922416 + ... + 2956784.

It is an arithmetic number, because the mean of its divisors is an integer number (4046122325).

Almost surely, 2^101031112400 is an apocalyptic number.

101031112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101031112400 is an abundant number, since it is smaller than the sum of its proper divisors (141736227100).

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

101031112400 is a wasteful number, since it uses less digits than its factorization.

101031112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41736 (or 41725 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101031112400 its reverse (4211130101), we get a palindrome (105242242501).

The spelling of 101031112400 in words is "one hundred one billion, thirty-one million, one hundred twelve thousand, four hundred".