312001012100 has 72 divisors (see below), whose sum is σ = 721697558400. Its totient is φ = 116735299200.

The previous prime is 312001012093. The next prime is 312001012111. The reversal of 312001012100 is 1210100213.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889211 + ... + 1189410.

It is an arithmetic number, because the mean of its divisors is an integer number (10023577200).

Almost surely, 2^312001012100 is an apocalyptic number.

It is an amenable number.

312001012100 is an abundant number, since it is smaller than the sum of its proper divisors (409696546300).

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

312001012100 is a wasteful number, since it uses less digits than its factorization.

312001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078733 (or 2078726 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 312001012100 its reverse (1210100213), we get a palindrome (313211112313).

The spelling of 312001012100 in words is "three hundred twelve billion, one million, twelve thousand, one hundred".