2112100011997 has 2 divisors, whose sum is σ = 2112100011998. Its totient is φ = 2112100011996.

The previous prime is 2112100011961. The next prime is 2112100012027. The reversal of 2112100011997 is 7991100012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1163591532601 + 948508479396 = 1078699^2 + 973914^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112100011997 - 2²⁷ = 2111965794269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112109011997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050005998 + 1056050005999.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050005999).

Almost surely, 2^{2112100011997} is an apocalyptic number.

It is an amenable number.

2112100011997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112100011997 is an equidigital number, since it uses as much as digits as its factorization.

2112100011997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 34.

The spelling of 2112100011997 in words is "two trillion, one hundred twelve billion, one hundred million, eleven thousand, nine hundred ninety-seven".