2112110137 has 2 divisors, whose sum is σ = 2112110138. Its totient is φ = 2112110136.

The previous prime is 2112110123. The next prime is 2112110173. The reversal of 2112110137 is 7310112112.

Together with next prime (2112110173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2093611536 + 18498601 = 45756^2 + 4301^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112110137 - 2⁷ = 2112110009 is a prime.

It is a super-2 number, since 2×2112110137² = 8922018461636317538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112110237) 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, 1056055068 + 1056055069.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055069).

Almost surely, 2^2112110137 is an apocalyptic number.

It is an amenable number.

2112110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112110137 is an equidigital number, since it uses as much as digits as its factorization.

2112110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 2112110137 is about 45957.6994311073. The cubic root of 2112110137 is about 1283.0360338966.

Adding to 2112110137 its reverse (7310112112), we get a palindrome (9422222249).

The spelling of 2112110137 in words is "two billion, one hundred twelve million, one hundred ten thousand, one hundred thirty-seven".