100110100009 has 16 divisors (see below), whose sum is σ = 103235354640. Its totient is φ = 97046553600.

The previous prime is 100110100003. The next prime is 100110100019. The reversal of 100110100009 is 900001011001.

It can be written as a sum of positive squares in 8 ways, for example, as 24132690409 + 75977409600 = 155347^2 + 275640^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110100009 - 2⁹ = 100110099497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960547 + ... + 1059655.

It is an arithmetic number, because the mean of its divisors is an integer number (6452209665).

Almost surely, 2^100110100009 is an apocalyptic number.

It is an amenable number.

100110100009 is a deficient number, since it is larger than the sum of its proper divisors (3125254631).

100110100009 is a wasteful number, since it uses less digits than its factorization.

100110100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99420.

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

The spelling of 100110100009 in words is "one hundred billion, one hundred ten million, one hundred thousand, nine".