2112012112011 has 12 divisors (see below), whose sum is σ = 2836721122872. Its totient is φ = 1397730606208.

The previous prime is 2112012111973. The next prime is 2112012112031. The reversal of 2112012112011 is 1102112102112.

It is a happy number.

It is not a de Polignac number, because 2112012112011 - 2²⁷ = 2111877894283 is a prime.

It is a super-2 number, since 2×2112012112011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112012112031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18698130 + ... + 18810743.

It is an arithmetic number, because the mean of its divisors is an integer number (236393426906).

Almost surely, 2^{2112012112011} is an apocalyptic number.

2112012112011 is a deficient number, since it is larger than the sum of its proper divisors (724709010861).

2112012112011 is an equidigital number, since it uses as much as digits as its factorization.

2112012112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37509150 (or 37509013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112012112011 its reverse (1102112102112), we get a palindrome (3214124214123).

The spelling of 2112012112011 in words is "two trillion, one hundred twelve billion, twelve million, one hundred twelve thousand, eleven".