11011122111011 has 16 divisors (see below), whose sum is σ = 12023009214720. Its totient is φ = 10001050693920.

The previous prime is 11011122110999. The next prime is 11011122111029.

11011122111011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11011122111011 - 2²⁶ = 11011055002147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011122111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75990716 + ... + 76135478.

It is an arithmetic number, because the mean of its divisors is an integer number (751438075920).

Almost surely, 2^{11011122111011} is an apocalyptic number.

11011122111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011122111011 is a deficient number, since it is larger than the sum of its proper divisors (1011887103709).

11011122111011 is a wasteful number, since it uses less digits than its factorization.

11011122111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150986.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1101112 and 2111011, that multiplied together give a palindrome (2324459544232).

The spelling of 11011122111011 in words is "eleven trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, eleven".