100011000100009 has 8 divisors (see below), whose sum is σ = 100392929529480. Its totient is φ = 99629145792000.

The previous prime is 100011000099949. The next prime is 100011000100013. The reversal of 100011000100009 is 900001000110001.

It can be written as a sum of positive squares in 4 ways, for example, as 5522335501225 + 94488664598784 = 2349965^2 + 9720528^2 .

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 100011000100009 - 2¹¹ = 100011000097961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011000100309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16111912 + ... + 21438649.

It is an arithmetic number, because the mean of its divisors is an integer number (12549116191185).

Almost surely, 2^{100011000100009} is an apocalyptic number.

It is an amenable number.

100011000100009 is a deficient number, since it is larger than the sum of its proper divisors (381929429471).

100011000100009 is an equidigital number, since it uses as much as digits as its factorization.

100011000100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37560731.

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

The spelling of 100011000100009 in words is "one hundred trillion, eleven billion, one hundred thousand, nine".