10110000100009 has 2 divisors, whose sum is σ = 10110000100010. Its totient is φ = 10110000100008.

The previous prime is 10110000100007. The next prime is 10110000100147. The reversal of 10110000100009 is 90000100001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10016686957225 + 93313142784 = 3164915^2 + 305472^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110000100009 - 2¹ = 10110000100007 is a prime.

Together with 10110000100007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10110000100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000050004 + 5055000050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000050005).

Almost surely, 2^{10110000100009} is an apocalyptic number.

It is an amenable number.

10110000100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110000100009 is an equidigital number, since it uses as much as digits as its factorization.

10110000100009 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 13.

The spelling of 10110000100009 in words is "ten trillion, one hundred ten billion, one hundred thousand, nine".