3112100313101 has 16 divisors (see below), whose sum is σ = 3444296478000. Its totient is φ = 2793262123008.

The previous prime is 3112100313079. The next prime is 3112100313121. The reversal of 3112100313101 is 1013130012113.

It can be written as a sum of positive squares in 8 ways, for example, as 359484184900 + 2752616128201 = 599570^2 + 1659101^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112100313101 - 2⁶ = 3112100313037 is a prime.

It is a super-3 number, since 3×3112100313101³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3112100313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112100313121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1343396 + ... + 2833533.

It is an arithmetic number, because the mean of its divisors is an integer number (215268529875).

Almost surely, 2^{3112100313101} is an apocalyptic number.

It is an amenable number.

3112100313101 is a deficient number, since it is larger than the sum of its proper divisors (332196164899).

3112100313101 is a wasteful number, since it uses less digits than its factorization.

3112100313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178528.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 3112100313101 its reverse (1013130012113), we get a palindrome (4125230325214).

The spelling of 3112100313101 in words is "three trillion, one hundred twelve billion, one hundred million, three hundred thirteen thousand, one hundred one".