100010000110009 has 18 divisors (see below), whose sum is σ = 109951190182778. Its totient is φ = 90899292976800.

The previous prime is 100010000109989. The next prime is 100010000110019. The reversal of 100010000110009 is 900011000010001.

It can be written as a sum of positive squares in only one way, i.e., 92560812447609 + 7449187662400 = 9620853^2 + 2729320^2 .

It is not a de Polignac number, because 100010000110009 - 2¹⁷ = 100009999978937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010000110019) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4655731549 + ... + 4655753029.

Almost surely, 2^{100010000110009} is an apocalyptic number.

It is an amenable number.

100010000110009 is a deficient number, since it is larger than the sum of its proper divisors (9941190072769).

100010000110009 is an frugal number, since it uses more digits than its factorization.

100010000110009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33909 (or 27695 counting only the distinct ones).

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

The spelling of 100010000110009 in words is "one hundred trillion, ten billion, one hundred ten thousand, nine".