11022122122011 has 96 divisors (see below), whose sum is σ = 22305638863872. Its totient is φ = 5055536090880.

The previous prime is 11022122121887. The next prime is 11022122122111.

11022122122011 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 221 + 220 + 1 + 1 = 666.

11022122122011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11022122122011 - 2¹¹ = 11022122119963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11022122122111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26389680 + ... + 26804093.

It is an arithmetic number, because the mean of its divisors is an integer number (232350404832).

Almost surely, 2^{11022122122011} is an apocalyptic number.

11022122122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11022122122011 is an abundant number, since it is smaller than the sum of its proper divisors (11283516741861).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11022122122011 is a wasteful number, since it uses less digits than its factorization.

11022122122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53193833 (or 53193830 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1102212 and 2122011, that added together give a palindrome (3224223).

The spelling of 11022122122011 in words is "eleven trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, eleven".