11001000100009 has 2 divisors, whose sum is σ = 11001000100010. Its totient is φ = 11001000100008.

The previous prime is 11001000099941. The next prime is 11001000100049. The reversal of 11001000100009 is 90000100010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6083760374784 + 4917239725225 = 2466528^2 + 2217485^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001000100009 - 2⁹ = 11001000099497 is a prime.

It is not a weakly prime, because it can be changed into another prime (11001000100049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500500050004 + 5500500050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5500500050005).

Almost surely, 2^{11001000100009} is an apocalyptic number.

It is an amenable number.

11001000100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001000100009 is an equidigital number, since it uses as much as digits as its factorization.

11001000100009 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 11001000100009 in words is "eleven trillion, one billion, one hundred thousand, nine".