100000100009 has 2 divisors, whose sum is σ = 100000100010. Its totient is φ = 100000100008.

The previous prime is 100000099963. The next prime is 100000100033. The reversal of 100000100009 is 900001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99636816409 + 363283600 = 315653^2 + 19060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100009 - 2²⁰ = 99999051433 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000100509) 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, 50000050004 + 50000050005.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050005).

Almost surely, 2^100000100009 is an apocalyptic number.

It is an amenable number.

100000100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100009 is an equidigital number, since it uses as much as digits as its factorization.

100000100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The spelling of 100000100009 in words is "one hundred billion, one hundred thousand, nine".