2112113112112 has 20 divisors (see below), whose sum is σ = 4187387043400. Its totient is φ = 1031497100928.

The previous prime is 2112113112101. The next prime is 2112113112113.

2112113112112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112113112112² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112113112112.

It is not an unprimeable number, because it can be changed into a prime (2112113112113) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1534965237 + ... + 1534966612.

It is an arithmetic number, because the mean of its divisors is an integer number (209369352170).

Almost surely, 2^{2112113112112} is an apocalyptic number.

It is an amenable number.

2112113112112 is a deficient number, since it is larger than the sum of its proper divisors (2075273931288).

2112113112112 is a wasteful number, since it uses less digits than its factorization.

2112113112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069931900 (or 3069931894 counting only the distinct ones).

The product of its digits is 48, while the sum is 19.

The spelling of 2112113112112 in words is "two trillion, one hundred twelve billion, one hundred thirteen million, one hundred twelve thousand, one hundred twelve".