111101010000111 has 48 divisors (see below), whose sum is σ = 172020029216256. Its totient is φ = 68917173893568.

The previous prime is 111101010000109. The next prime is 111101010000193. The reversal of 111101010000111 is 111000010101111.

It is not a de Polignac number, because 111101010000111 - 2¹ = 111101010000109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111101010000093 and 111101010000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101010002111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33518616 + ... + 36683778.

It is an arithmetic number, because the mean of its divisors is an integer number (3583750608672).

Almost surely, 2^{111101010000111} is an apocalyptic number.

111101010000111 is a deficient number, since it is larger than the sum of its proper divisors (60919019216145).

111101010000111 is a wasteful number, since it uses less digits than its factorization.

111101010000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169812 (or 3169809 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111101010000111 its reverse (111000010101111), we get a palindrome (222101020101222).

The spelling of 111101010000111 in words is "one hundred eleven trillion, one hundred one billion, ten million, one hundred eleven", and thus it is an aban number.