111000110001011 has 32 divisors (see below), whose sum is σ = 139016351585280. Its totient is φ = 86102085801600.

The previous prime is 111000110000981. The next prime is 111000110001089. The reversal of 111000110001011 is 110100011000111.

It is not a de Polignac number, because 111000110001011 - 2¹⁴ = 111000109984627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111000110001011.

It is not an unprimeable number, because it can be changed into a prime (111000110001611) 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 31 ways as a sum of consecutive naturals, for example, 110180906 + ... + 111183776.

It is an arithmetic number, because the mean of its divisors is an integer number (4344260987040).

Almost surely, 2^{111000110001011} is an apocalyptic number.

111000110001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111000110001011 is a deficient number, since it is larger than the sum of its proper divisors (28016241584269).

111000110001011 is a wasteful number, since it uses less digits than its factorization.

111000110001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009395.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111000110001011 its reverse (110100011000111), we get a palindrome (221100121001122).

The spelling of 111000110001011 in words is "one hundred eleven trillion, one hundred ten million, one thousand, eleven".