331201112100 has 72 divisors (see below), whose sum is σ = 961837813440. Its totient is φ = 87991946880.

The previous prime is 331201112057. The next prime is 331201112107. The reversal of 331201112100 is 1211102133.

It is a happy number.

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 331201112100.

It is not an unprimeable number, because it can be changed into a prime (331201112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971352 + ... + 2132751.

It is an arithmetic number, because the mean of its divisors is an integer number (13358858520).

Almost surely, 2^331201112100 is an apocalyptic number.

331201112100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331201112100 is an abundant number, since it is smaller than the sum of its proper divisors (630636701340).

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

331201112100 is a wasteful number, since it uses less digits than its factorization.

331201112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104389 (or 4104382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 331201112100 its reverse (1211102133), we get a palindrome (332412214233).

The spelling of 331201112100 in words is "three hundred thirty-one billion, two hundred one million, one hundred twelve thousand, one hundred".