111111000101109 has 10 divisors (see below), whose sum is σ = 165980629780790. Its totient is φ = 74074000067352.

The previous prime is 111111000101093. The next prime is 111111000101111. The reversal of 111111000101109 is 901101000111111.

It can be written as a sum of positive squares in only one way, i.e., 110151427043025 + 959573058084 = 10495305^2 + 979578^2 .

It is not a de Polignac number, because 111111000101109 - 2⁴ = 111111000101093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111111000101091 and 111111000101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111000101119) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 685870370914 + ... + 685870371075.

It is an arithmetic number, because the mean of its divisors is an integer number (16598062978079).

Almost surely, 2^{111111000101109} is an apocalyptic number.

It is an amenable number.

111111000101109 is a deficient number, since it is larger than the sum of its proper divisors (54869629679681).

111111000101109 is an equidigital number, since it uses as much as digits as its factorization.

111111000101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371740742001 (or 1371740741992 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 111111000101109 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one thousand, one hundred nine".