3101310102120 has 128 divisors (see below), whose sum is σ = 9796131792000. Its totient is φ = 783287193600.

The previous prime is 3101310102103. The next prime is 3101310102133. The reversal of 3101310102120 is 212010131013.

It is a happy number.

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 3101310102120.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8785020 + ... + 9131220.

It is an arithmetic number, because the mean of its divisors is an integer number (76532279625).

Almost surely, 2^{3101310102120} is an apocalyptic number.

3101310102120 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 3101310102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898065896000).

3101310102120 is an abundant number, since it is smaller than the sum of its proper divisors (6694821689880).

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

3101310102120 is a wasteful number, since it uses less digits than its factorization.

3101310102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350163 (or 350159 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3101310102120 its reverse (212010131013), we get a palindrome (3313320233133).

The spelling of 3101310102120 in words is "three trillion, one hundred one billion, three hundred ten million, one hundred two thousand, one hundred twenty".