11021100112011 has 32 divisors (see below), whose sum is σ = 16256998218240. Its totient is φ = 6585166022400.

The previous prime is 11021100112007. The next prime is 11021100112039.

11021100112011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11021100112011 - 2² = 11021100112007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11021100112511) 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 31 ways as a sum of consecutive naturals, for example, 102459525 + ... + 102567033.

It is an arithmetic number, because the mean of its divisors is an integer number (508031194320).

Almost surely, 2^{11021100112011} is an apocalyptic number.

11021100112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11021100112011 is a deficient number, since it is larger than the sum of its proper divisors (5235898106229).

11021100112011 is a wasteful number, since it uses less digits than its factorization.

11021100112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151347.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 11021100 and 112011, that added together give a palindrome (11133111).

The spelling of 11021100112011 in words is "eleven trillion, twenty-one billion, one hundred million, one hundred twelve thousand, eleven".