312101310110100 has 288 divisors, whose sum is σ = 1111623454212096. Its totient is φ = 66034658764800.

The previous prime is 312101310110021. The next prime is 312101310110113. The reversal of 312101310110100 is 1011013101213.

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 312101310110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102724069 + ... + 105718668.

Almost surely, 2^{312101310110100} is an apocalyptic number.

312101310110100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312101310110100 is an abundant number, since it is smaller than the sum of its proper divisors (799522144101996).

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

312101310110100 is a wasteful number, since it uses less digits than its factorization.

312101310110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208442815 (or 208442808 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 312101310110100 its reverse (1011013101213), we get a palindrome (313112323211313).

The spelling of 312101310110100 in words is "three hundred twelve trillion, one hundred one billion, three hundred ten million, one hundred ten thousand, one hundred".