110001100009 has 8 divisors (see below), whose sum is σ = 112122046152. Its totient is φ = 107881837440.

The previous prime is 110001100007. The next prime is 110001100051. The reversal of 110001100009 is 900001100011.

It can be written as a sum of positive squares in 4 ways, for example, as 46293825600 + 63707274409 = 215160^2 + 252403^2 .

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 110001100009 - 2¹ = 110001100007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001100007) 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 7 ways as a sum of consecutive naturals, for example, 288562 + ... + 550699.

It is an arithmetic number, because the mean of its divisors is an integer number (14015255769).

Almost surely, 2^110001100009 is an apocalyptic number.

It is an amenable number.

110001100009 is a deficient number, since it is larger than the sum of its proper divisors (2120946143).

110001100009 is an equidigital number, since it uses as much as digits as its factorization.

110001100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841787.

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

The spelling of 110001100009 in words is "one hundred ten billion, one million, one hundred thousand, nine".