2112111112112 has 10 divisors (see below), whose sum is σ = 4092215279748. Its totient is φ = 1056055556048.

The previous prime is 2112111112103. The next prime is 2112111112141.

2112111112112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112111112112² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66003472238 + ... + 66003472269.

Almost surely, 2^{2112111112112} is an apocalyptic number.

It is an amenable number.

2112111112112 is a deficient number, since it is larger than the sum of its proper divisors (1980104167636).

2112111112112 is a wasteful number, since it uses less digits than its factorization.

2112111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132006944515 (or 132006944509 counting only the distinct ones).

The product of its digits is 16, while the sum is 17.

The spelling of 2112111112112 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".