2112107993 has 2 divisors, whose sum is σ = 2112107994. Its totient is φ = 2112107992.

The previous prime is 2112107939. The next prime is 2112108007. The reversal of 2112107993 is 3997012112.

Together with previous prime (2112107939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1846678729 + 265429264 = 42973^2 + 16292^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112107993 - 2²⁰ = 2111059417 is a prime.

It is a super-2 number, since 2×2112107993² = 8922000348188976098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112103993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056053996 + 1056053997.

It is an arithmetic number, because the mean of its divisors is an integer number (1056053997).

Almost surely, 2^2112107993 is an apocalyptic number.

It is an amenable number.

2112107993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112107993 is an equidigital number, since it uses as much as digits as its factorization.

2112107993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 2112107993 is about 45957.6761053037. The cubic root of 2112107993 is about 1283.0355997604.

The spelling of 2112107993 in words is "two billion, one hundred twelve million, one hundred seven thousand, nine hundred ninety-three".