1111011000111 has 48 divisors (see below), whose sum is σ = 1670406392928. Its totient is φ = 710998041600.

The previous prime is 1111011000091. The next prime is 1111011000119. The reversal of 1111011000111 is 1110001101111.

It is not a de Polignac number, because 1111011000111 - 2⁵ = 1111011000079 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 = 1111011000093 and 1111011000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111011000119) 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 47 ways as a sum of consecutive naturals, for example, 21656451 + ... + 21707691.

It is an arithmetic number, because the mean of its divisors is an integer number (34800133186).

Almost surely, 2^{1111011000111} is an apocalyptic number.

1111011000111 is a deficient number, since it is larger than the sum of its proper divisors (559395392817).

1111011000111 is a wasteful number, since it uses less digits than its factorization.

1111011000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52232 (or 52229 counting only the distinct ones).

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

Adding to 1111011000111 its reverse (1110001101111), we get a palindrome (2221012101222).

The spelling of 1111011000111 in words is "one trillion, one hundred eleven billion, eleven million, one hundred eleven", and thus it is an aban number.