10000100011009 has 16 divisors (see below), whose sum is σ = 10644973084800. Its totient is φ = 9367087694976.

The previous prime is 10000100011007. The next prime is 10000100011019. The reversal of 10000100011009 is 90011000100001.

It is a cyclic number.

It is not a de Polignac number, because 10000100011009 - 2¹ = 10000100011007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100011009.

It is not an unprimeable number, because it can be changed into a prime (10000100011007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120582652 + ... + 120665554.

It is an arithmetic number, because the mean of its divisors is an integer number (665310817800).

Almost surely, 2^{10000100011009} is an apocalyptic number.

10000100011009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10000100011009 is a deficient number, since it is larger than the sum of its proper divisors (644873073791).

10000100011009 is an equidigital number, since it uses as much as digits as its factorization.

10000100011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154344.

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

The spelling of 10000100011009 in words is "ten trillion, one hundred million, eleven thousand, nine".