11122101111221 has 2 divisors, whose sum is σ = 11122101111222. Its totient is φ = 11122101111220.

The previous prime is 11122101111203. The next prime is 11122101111271. The reversal of 11122101111221 is 12211110122111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11053397362225 + 68703748996 = 3324665^2 + 262114^2 .

It is an emirp because it is prime and its reverse (12211110122111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11122101111221 - 2¹⁸ = 11122100849077 is a prime.

It is a super-2 number, since 2×11122101111221² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11122101111221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11122101111271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561050555610 + 5561050555611.

It is an arithmetic number, because the mean of its divisors is an integer number (5561050555611).

Almost surely, 2^{11122101111221} is an apocalyptic number.

It is an amenable number.

11122101111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122101111221 is an equidigital number, since it uses as much as digits as its factorization.

11122101111221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11122101111221 its reverse (12211110122111), we get a palindrome (23333211233332).

The spelling of 11122101111221 in words is "eleven trillion, one hundred twenty-two billion, one hundred one million, one hundred eleven thousand, two hundred twenty-one".