2112332101113 has 16 divisors (see below), whose sum is σ = 3033118805696. Its totient is φ = 1299885295680.

The previous prime is 2112332101073. The next prime is 2112332101181. The reversal of 2112332101113 is 3111012332112.

It is not a de Polignac number, because 2112332101113 - 2¹² = 2112332097017 is a prime.

It is a super-2 number, since 2×2112332101113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112332101113.

It is not an unprimeable number, because it can be changed into a prime (2112332101513) 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, 7334118 + ... + 7616688.

It is an arithmetic number, because the mean of its divisors is an integer number (189569925356).

Almost surely, 2^{2112332101113} is an apocalyptic number.

It is an amenable number.

2112332101113 is a deficient number, since it is larger than the sum of its proper divisors (920786704583).

2112332101113 is a wasteful number, since it uses less digits than its factorization.

2112332101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474264.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2112332101113 its reverse (3111012332112), we get a palindrome (5223344433225).

The spelling of 2112332101113 in words is "two trillion, one hundred twelve billion, three hundred thirty-two million, one hundred one thousand, one hundred thirteen".