11100001101109 has 8 divisors (see below), whose sum is σ = 11119648108248. Its totient is φ = 11080355512320.

The previous prime is 11100001101107. The next prime is 11100001101223. The reversal of 11100001101109 is 90110110000111.

It can be written as a sum of positive squares in 4 ways, for example, as 7504843813009 + 3595157288100 = 2739497^2 + 1896090^2 .

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 11100001101109 - 2¹ = 11100001101107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11100001101092 and 11100001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100001101107) 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 7 ways as a sum of consecutive naturals, for example, 15975669 + ... + 16655989.

It is an arithmetic number, because the mean of its divisors is an integer number (1389956013531).

Almost surely, 2^{11100001101109} is an apocalyptic number.

It is an amenable number.

11100001101109 is a deficient number, since it is larger than the sum of its proper divisors (19647007139).

11100001101109 is an equidigital number, since it uses as much as digits as its factorization.

11100001101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709175.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 11100001101109 in words is "eleven trillion, one hundred billion, one million, one hundred one thousand, one hundred nine".