331012102100100 has 72 divisors (see below), whose sum is σ = 971217480477888. Its totient is φ = 87026655945600.

The previous prime is 331012102100089. The next prime is 331012102100131. The reversal of 331012102100100 is 1001201210133.

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 331012102100100.

It is an unprimeable number.

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, 7770215839 + ... + 7770258438.

It is an arithmetic number, because the mean of its divisors is an integer number (13489131673304).

Almost surely, 2^{331012102100100} is an apocalyptic number.

331012102100100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331012102100100 is an abundant number, since it is smaller than the sum of its proper divisors (640205378377788).

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

331012102100100 is a wasteful number, since it uses less digits than its factorization.

331012102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540474365 (or 15540474358 counting only the distinct ones).

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

Adding to 331012102100100 its reverse (1001201210133), we get a palindrome (332013303310233).

The spelling of 331012102100100 in words is "three hundred thirty-one trillion, twelve billion, one hundred two million, one hundred thousand, one hundred".