10100000112809 has 2 divisors, whose sum is σ = 10100000112810. Its totient is φ = 10100000112808.

The previous prime is 10100000112773. The next prime is 10100000112821. The reversal of 10100000112809 is 90821100000101.

10100000112809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10028083891225 + 71916221584 = 3166715^2 + 268172^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100000112809 - 2¹⁶ = 10100000047273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100000112859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000056404 + 5050000056405.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000056405).

Almost surely, 2^{10100000112809} is an apocalyptic number.

It is an amenable number.

10100000112809 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000112809 is an equidigital number, since it uses as much as digits as its factorization.

10100000112809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10100000112809 in words is "ten trillion, one hundred billion, one hundred twelve thousand, eight hundred nine".