100100110009 has 4 divisors (see below), whose sum is σ = 101132070004. Its totient is φ = 99068150016.

The previous prime is 100100110003. The next prime is 100100110027. The reversal of 100100110009 is 900011001001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52312838400 + 47787271609 = 228720^2 + 218603^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110009 - 2¹⁹ = 100099585721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515979852 + ... + 515980045.

It is an arithmetic number, because the mean of its divisors is an integer number (25283017501).

Almost surely, 2^100100110009 is an apocalyptic number.

It is an amenable number.

100100110009 is a deficient number, since it is larger than the sum of its proper divisors (1031959995).

100100110009 is an equidigital number, since it uses as much as digits as its factorization.

100100110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031959994.

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

The spelling of 100100110009 in words is "one hundred billion, one hundred million, one hundred ten thousand, nine".