110100100009 has 8 divisors (see below), whose sum is σ = 110816098560. Its totient is φ = 109386128016.

The previous prime is 110100099997. The next prime is 110100100021. The reversal of 110100100009 is 900001001011.

It is an interprime number because it is at equal distance from previous prime (110100099997) and next prime (110100100021).

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 110100100009 - 2¹⁹ = 110099575721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110100100709) 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, 397554 + ... + 615019.

It is an arithmetic number, because the mean of its divisors is an integer number (13852012320).

Almost surely, 2^110100100009 is an apocalyptic number.

It is an amenable number.

110100100009 is a deficient number, since it is larger than the sum of its proper divisors (715998551).

110100100009 is a wasteful number, since it uses less digits than its factorization.

110100100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013279.

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

The spelling of 110100100009 in words is "one hundred ten billion, one hundred million, one hundred thousand, nine".