11021111112011 has 96 divisors (see below), whose sum is σ = 15220746547200. Its totient is φ = 7907320512000.

The previous prime is 11021111111981. The next prime is 11021111112019.

11021111112011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11021111112011 - 2²² = 11021106917707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11021111112019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255670886 + ... + 255713988.

It is an arithmetic number, because the mean of its divisors is an integer number (158549443200).

Almost surely, 2^{11021111112011} is an apocalyptic number.

11021111112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11021111112011 is a deficient number, since it is larger than the sum of its proper divisors (4199635435189).

11021111112011 is a wasteful number, since it uses less digits than its factorization.

11021111112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43562 (or 43535 counting only the distinct ones).

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

It can be divided in two parts, 1102111 and 1112011, that multiplied together give a palindrome (1225559555221).

The spelling of 11021111112011 in words is "eleven trillion, twenty-one billion, one hundred eleven million, one hundred twelve thousand, eleven".