2112111115331 has 16 divisors (see below), whose sum is σ = 2416352772864. Its totient is φ = 1808498319264.

The previous prime is 2112111115327. The next prime is 2112111115337. The reversal of 2112111115331 is 1335111112112.

It is not a de Polignac number, because 2112111115331 - 2² = 2112111115327 is a prime.

It is a super-2 number, since 2×2112111115331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112111115297 and 2112111115306.

It is not an unprimeable number, because it can be changed into a prime (2112111115337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26941316 + ... + 27019598.

It is an arithmetic number, because the mean of its divisors is an integer number (151022048304).

Almost surely, 2^{2112111115331} is an apocalyptic number.

2112111115331 is a deficient number, since it is larger than the sum of its proper divisors (304241657533).

2112111115331 is a wasteful number, since it uses less digits than its factorization.

2112111115331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82250.

The product of its digits is 180, while the sum is 23.

Adding to 2112111115331 its reverse (1335111112112), we get a palindrome (3447222227443).

The spelling of 2112111115331 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred fifteen thousand, three hundred thirty-one".