112010009 has 2 divisors, whose sum is σ = 112010010. Its totient is φ = 112010008.

The previous prime is 112009987. The next prime is 112010011. The reversal of 112010009 is 900010211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108576400 + 3433609 = 10420^2 + 1853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112010009 is a prime.

Together with 112010011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 112009975 and 112010002.

It is not a weakly prime, because it can be changed into another prime (112010029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005004 + 56005005.

It is an arithmetic number, because the mean of its divisors is an integer number (56005005).

Almost surely, 2^112010009 is an apocalyptic number.

It is an amenable number.

112010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

112010009 is an equidigital number, since it uses as much as digits as its factorization.

112010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 112010009 is about 10583.4781144953. The cubic root of 112010009 is about 482.0428114037.

The spelling of 112010009 in words is "one hundred twelve million, ten thousand, nine".