2112110111971 has 2 divisors, whose sum is σ = 2112110111972. Its totient is φ = 2112110111970.

The previous prime is 2112110111933. The next prime is 2112110112043. The reversal of 2112110111971 is 1791110112112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112110111971 - 2¹⁵ = 2112110079203 is a prime.

It is a super-2 number, since 2×2112110111971² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112110111921) 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, 1056055055985 + 1056055055986.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055055986).

Almost surely, 2^{2112110111971} is an apocalyptic number.

2112110111971 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112110111971 is an equidigital number, since it uses as much as digits as its factorization.

2112110111971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 28.

The spelling of 2112110111971 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred eleven thousand, nine hundred seventy-one".