10112100209 has 2 divisors, whose sum is σ = 10112100210. Its totient is φ = 10112100208.

The previous prime is 10112100197. The next prime is 10112100227. The reversal of 10112100209 is 90200121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5810707984 + 4301392225 = 76228^2 + 65585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112100209 - 2²⁰ = 10111051633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112105209) 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, 5056050104 + 5056050105.

It is an arithmetic number, because the mean of its divisors is an integer number (5056050105).

Almost surely, 2^10112100209 is an apocalyptic number.

It is an amenable number.

10112100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112100209 is an equidigital number, since it uses as much as digits as its factorization.

10112100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10112100209 in words is "ten billion, one hundred twelve million, one hundred thousand, two hundred nine".