110000100001009 has 8 divisors (see below), whose sum is σ = 110058606282240. Its totient is φ = 109941595318800.

The previous prime is 110000100000953. The next prime is 110000100001039. The reversal of 110000100001009 is 900100001000011.

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 110000100001009 - 2¹¹ = 110000099998961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110000100001009.

It is not an unprimeable number, because it can be changed into a prime (110000100001039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152786544 + ... + 153504814.

It is an arithmetic number, because the mean of its divisors is an integer number (13757325785280).

Almost surely, 2^{110000100001009} is an apocalyptic number.

It is an amenable number.

110000100001009 is a deficient number, since it is larger than the sum of its proper divisors (58506281231).

110000100001009 is an equidigital number, since it uses as much as digits as its factorization.

110000100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799511.

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

The spelling of 110000100001009 in words is "one hundred ten trillion, one hundred million, one thousand, nine".