11011122211221 has 48 divisors (see below), whose sum is σ = 18339847606080. Its totient is φ = 6295942080000.

The previous prime is 11011122211207. The next prime is 11011122211247. The reversal of 11011122211221 is 12211222111011.

It is a happy number.

11011122211221 is a `hidden beast` number, since 110 + 1 + 1 + 122 + 211 + 221 = 666.

It is not a de Polignac number, because 11011122211221 - 2²¹ = 11011120114069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011122211194 and 11011122211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011122211261) 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 47 ways as a sum of consecutive naturals, for example, 11691630 + ... + 12598271.

It is an arithmetic number, because the mean of its divisors is an integer number (382080158460).

Almost surely, 2^{11011122211221} is an apocalyptic number.

11011122211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011122211221 is a deficient number, since it is larger than the sum of its proper divisors (7328725394859).

11011122211221 is a wasteful number, since it uses less digits than its factorization.

11011122211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24290178 (or 24290175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11011122211221 its reverse (12211222111011), we get a palindrome (23222344322232).

The spelling of 11011122211221 in words is "eleven trillion, eleven billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".