2112103993 has 2 divisors, whose sum is σ = 2112103994. Its totient is φ = 2112103992.

The previous prime is 2112103991. The next prime is 2112104051. The reversal of 2112103993 is 3993012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1210483264 + 901620729 = 34792^2 + 30027^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112103993 - 2¹ = 2112103991 is a prime.

Together with 2112103991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2112103991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056051996 + 1056051997.

It is an arithmetic number, because the mean of its divisors is an integer number (1056051997).

Almost surely, 2^2112103993 is an apocalyptic number.

It is an amenable number.

2112103993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112103993 is an equidigital number, since it uses as much as digits as its factorization.

2112103993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 2112103993 is about 45957.6325869817. The cubic root of 2112103993 is about 1283.0347898041.

The spelling of 2112103993 in words is "two billion, one hundred twelve million, one hundred three thousand, nine hundred ninety-three".