101331002400 has 144 divisors (see below), whose sum is σ = 349234460064. Its totient is φ = 25432084480.

The previous prime is 101331002393. The next prime is 101331002447. The reversal of 101331002400 is 4200133101.

101331002400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101331002400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201002 + ... + 1282601.

It is an arithmetic number, because the mean of its divisors is an integer number (2425239306).

Almost surely, 2^101331002400 is an apocalyptic number.

101331002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331002400 is an abundant number, since it is smaller than the sum of its proper divisors (247903457664).

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

101331002400 is a wasteful number, since it uses less digits than its factorization.

101331002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483643 (or 2483630 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101331002400 its reverse (4200133101), we get a palindrome (105531135501).

The spelling of 101331002400 in words is "one hundred one billion, three hundred thirty-one million, two thousand, four hundred".