2112111110191 has 2 divisors, whose sum is σ = 2112111110192. Its totient is φ = 2112111110190.

The previous prime is 2112111110171. The next prime is 2112111110201. The reversal of 2112111110191 is 1910111112112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2112111110191 - 2¹⁷ = 2112110979119 is a prime.

It is a super-2 number, since 2×2112111110191² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112111110101) 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 as a sum of consecutive naturals, namely, 1056055555095 + 1056055555096.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055555096).

Almost surely, 2^{2112111110191} is an apocalyptic number.

2112111110191 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112111110191 is an equidigital number, since it uses as much as digits as its factorization.

2112111110191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 2112111110191 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, one hundred ninety-one".