100110010000009 has 2 divisors, whose sum is σ = 100110010000010. Its totient is φ = 100110010000008.

The previous prime is 100110009999953. The next prime is 100110010000019. The reversal of 100110010000009 is 900000010011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69358582112400 + 30751427887609 = 8328180^2 + 5545397^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110010000009 - 2¹⁷ = 100110009868937 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110010000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005000004 + 50055005000005.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005000005).

Almost surely, 2^{100110010000009} is an apocalyptic number.

It is an amenable number.

100110010000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110010000009 is an equidigital number, since it uses as much as digits as its factorization.

100110010000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100110010000009 in words is "one hundred trillion, one hundred ten billion, ten million, nine", and thus it is an aban number.