312110020100 has 18 divisors (see below), whose sum is σ = 677278743834. Its totient is φ = 124844008000.

The previous prime is 312110020093. The next prime is 312110020111. The reversal of 312110020100 is 1020011213.

It can be written as a sum of positive squares in 3 ways, for example, as 111809476 + 311998210624 = 10574^2 + 558568^2 .

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 5 ways as a sum of consecutive naturals, for example, 1560550001 + ... + 1560550200.

Almost surely, 2^312110020100 is an apocalyptic number.

It is an amenable number.

312110020100 is an abundant number, since it is smaller than the sum of its proper divisors (365168723734).

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

312110020100 is a wasteful number, since it uses less digits than its factorization.

312110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121100215 (or 3121100208 counting only the distinct ones).

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

Adding to 312110020100 its reverse (1020011213), we get a palindrome (313130031313).

The spelling of 312110020100 in words is "three hundred twelve billion, one hundred ten million, twenty thousand, one hundred".