3101022312102 has 256 divisors, whose sum is σ = 8231240586240. Its totient is φ = 852964992000.

The previous prime is 3101022312061. The next prime is 3101022312149. The reversal of 3101022312102 is 2012132201013.

3101022312102 is a `hidden beast` number, since 310 + 10 + 22 + 312 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 310936788 + ... + 310946760.

It is an arithmetic number, because the mean of its divisors is an integer number (32153283540).

Almost surely, 2^{3101022312102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101022312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115620293120).

3101022312102 is an abundant number, since it is smaller than the sum of its proper divisors (5130218274138).

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

3101022312102 is a wasteful number, since it uses less digits than its factorization.

3101022312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3101022312102 its reverse (2012132201013), we get a palindrome (5113154513115).

The spelling of 3101022312102 in words is "three trillion, one hundred one billion, twenty-two million, three hundred twelve thousand, one hundred two".