122111220221 has 2 divisors, whose sum is σ = 122111220222. Its totient is φ = 122111220220.

The previous prime is 122111220173. The next prime is 122111220227. The reversal of 122111220221 is 122022111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92203322500 + 29907897721 = 303650^2 + 172939^2 .

It is an emirp because it is prime and its reverse (122022111221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122111220221 is a prime.

It is a super-2 number, since 2×122111220221² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

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 122111220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111220227) 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 as a sum of consecutive naturals, namely, 61055610110 + 61055610111.

It is an arithmetic number, because the mean of its divisors is an integer number (61055610111).

Almost surely, 2^122111220221 is an apocalyptic number.

It is an amenable number.

122111220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111220221 is an equidigital number, since it uses as much as digits as its factorization.

122111220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122111220221 its reverse (122022111221), we get a palindrome (244133331442).

The spelling of 122111220221 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, two hundred twenty-one".