11011112221211 has 24 divisors (see below), whose sum is σ = 11650611766080. Its totient is φ = 10377848850912.

The previous prime is 11011112221177. The next prime is 11011112221253. The reversal of 11011112221211 is 11212221111011.

It is not a de Polignac number, because 11011112221211 - 2¹⁰ = 11011112220187 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11011112221211.

It is not an unprimeable number, because it can be changed into a prime (11011162221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998553680 + ... + 998564706.

It is an arithmetic number, because the mean of its divisors is an integer number (485442156920).

Almost surely, 2^{11011112221211} is an apocalyptic number.

11011112221211 is a deficient number, since it is larger than the sum of its proper divisors (639499544869).

11011112221211 is an equidigital number, since it uses as much as digits as its factorization.

11011112221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11011112221211 its reverse (11212221111011), we get a palindrome (22223333332222).

The spelling of 11011112221211 in words is "eleven trillion, eleven billion, one hundred twelve million, two hundred twenty-one thousand, two hundred eleven".