2112112121971 has 2 divisors, whose sum is σ = 2112112121972. Its totient is φ = 2112112121970.

The previous prime is 2112112121957. The next prime is 2112112122013. The reversal of 2112112121971 is 1791212112112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112112121971 - 2⁵ = 2112112121939 is a prime.

It is a super-2 number, since 2×2112112121971² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112112121921) 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, 1056056060985 + 1056056060986.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056060986).

Almost surely, 2^{2112112121971} is an apocalyptic number.

2112112121971 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112112121971 is an equidigital number, since it uses as much as digits as its factorization.

2112112121971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 31.

The spelling of 2112112121971 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, nine hundred seventy-one".