2112332101072 has 80 divisors (see below), whose sum is σ = 4262655922560. Its totient is φ = 1012799051264.

The previous prime is 2112332101031. The next prime is 2112332101073. The reversal of 2112332101072 is 2701012332112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112332101073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98941503 + ... + 98962849.

It is an arithmetic number, because the mean of its divisors is an integer number (53283199032).

Almost surely, 2^{2112332101072} 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 2112332101072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131327961280).

2112332101072 is an abundant number, since it is smaller than the sum of its proper divisors (2150323821488).

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

2112332101072 is a wasteful number, since it uses less digits than its factorization.

2112332101072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22828 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 2112332101072 its reverse (2701012332112), we get a palindrome (4813344433184).

The spelling of 2112332101072 in words is "two trillion, one hundred twelve billion, three hundred thirty-two million, one hundred one thousand, seventy-two".