10000110100009 has 8 divisors (see below), whose sum is σ = 10683542606240. Its totient is φ = 9332388686016.

The previous prime is 10000110099983. The next prime is 10000110100027. The reversal of 10000110100009 is 90000101100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000110100009 - 2²⁵ = 10000076545577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000110106009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3927771744 + ... + 3927774289.

It is an arithmetic number, because the mean of its divisors is an integer number (1335442825780).

Almost surely, 2^{10000110100009} is an apocalyptic number.

10000110100009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10000110100009 is a deficient number, since it is larger than the sum of its proper divisors (683432506231).

10000110100009 is an equidigital number, since it uses as much as digits as its factorization.

10000110100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855546119.

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

The spelling of 10000110100009 in words is "ten trillion, one hundred ten million, one hundred thousand, nine".