3112021023100 has 144 divisors (see below), whose sum is σ = 7569256849056. Its totient is φ = 1100601216000.

The previous prime is 3112021023031. The next prime is 3112021023149. The reversal of 3112021023100 is 13201202113.

3112021023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3112021023100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106660114 + ... + 106689286.

It is an arithmetic number, because the mean of its divisors is an integer number (52564283674).

Almost surely, 2^{3112021023100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112021023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784628424528).

3112021023100 is an abundant number, since it is smaller than the sum of its proper divisors (4457235825956).

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

3112021023100 is a wasteful number, since it uses less digits than its factorization.

3112021023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856 (or 31849 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3112021023100 its reverse (13201202113), we get a palindrome (3125222225213).

The spelling of 3112021023100 in words is "three trillion, one hundred twelve billion, twenty-one million, twenty-three thousand, one hundred".