1000110100009 has 2 divisors, whose sum is σ = 1000110100010. Its totient is φ = 1000110100008.

The previous prime is 1000110100007. The next prime is 1000110100027. The reversal of 1000110100009 is 9000010110001.

1000110100009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 874973160000 + 125136940009 = 935400^2 + 353747^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000110100009 - 2¹ = 1000110100007 is a prime.

Together with 1000110100007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000110100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055050004 + 500055050005.

It is an arithmetic number, because the mean of its divisors is an integer number (500055050005).

Almost surely, 2^{1000110100009} is an apocalyptic number.

It is an amenable number.

1000110100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110100009 is an equidigital number, since it uses as much as digits as its factorization.

1000110100009 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 1000110100009 in words is "one trillion, one hundred ten million, one hundred thousand, nine".