111111101000111 has 16 divisors (see below), whose sum is σ = 112840570135488. Its totient is φ = 109394772480000.

The previous prime is 111111101000093. The next prime is 111111101000117. The reversal of 111111101000111 is 111000101111111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111101000111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111111101000092 and 111111101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111101000117) 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 15 ways as a sum of consecutive naturals, for example, 595354211 + ... + 595540811.

It is an arithmetic number, because the mean of its divisors is an integer number (7052535633468).

Almost surely, 2^{111111101000111} is an apocalyptic number.

111111101000111 is a deficient number, since it is larger than the sum of its proper divisors (1729469135377).

111111101000111 is a wasteful number, since it uses less digits than its factorization.

111111101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221762.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111111101000111 its reverse (111000101111111), we get a palindrome (222111202111222).

The spelling of 111111101000111 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven", and thus it is an aban number.