312001100100 has 144 divisors (see below), whose sum is σ = 1005675563200. Its totient is φ = 82980495360.

The previous prime is 312001100053. The next prime is 312001100111. The reversal of 312001100100 is 1001100213.

It is a super-2 number, since 2×312001100100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870852 + ... + 1175748.

Almost surely, 2^312001100100 is an apocalyptic number.

312001100100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502837781600).

312001100100 is an abundant number, since it is smaller than the sum of its proper divisors (693674463100).

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

312001100100 is a wasteful number, since it uses less digits than its factorization.

312001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305299 (or 305286 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 312001100100 its reverse (1001100213), we get a palindrome (313002200313).

The spelling of 312001100100 in words is "three hundred twelve billion, one million, one hundred thousand, one hundred".