11102120211221 has 16 divisors (see below), whose sum is σ = 12265271015424. Its totient is φ = 9985088052864.

The previous prime is 11102120211199. The next prime is 11102120211223. The reversal of 11102120211221 is 12211202120111.

It is a cyclic number.

It is not a de Polignac number, because 11102120211221 - 2¹⁰ = 11102120210197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11102120211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102120211223) 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 15 ways as a sum of consecutive naturals, for example, 40604576 + ... + 40877081.

It is an arithmetic number, because the mean of its divisors is an integer number (766579438464).

Almost surely, 2^{11102120211221} is an apocalyptic number.

It is an amenable number.

11102120211221 is a deficient number, since it is larger than the sum of its proper divisors (1163150804203).

11102120211221 is a wasteful number, since it uses less digits than its factorization.

11102120211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81481940.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11102120211221 its reverse (12211202120111), we get a palindrome (23313322331332).

The spelling of 11102120211221 in words is "eleven trillion, one hundred two billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty-one".