122101221020221 has 2 divisors, whose sum is σ = 122101221020222. Its totient is φ = 122101221020220.

The previous prime is 122101221020203. The next prime is 122101221020237. The reversal of 122101221020221 is 122020122101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87941988752121 + 34159232268100 = 9377739^2 + 5844590^2 .

It is an emirp because it is prime and its reverse (122020122101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101221020221 - 2⁵ = 122101221020189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101221020291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050610510110 + 61050610510111.

It is an arithmetic number, because the mean of its divisors is an integer number (61050610510111).

Almost surely, 2^{122101221020221} is an apocalyptic number.

It is an amenable number.

122101221020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101221020221 is an equidigital number, since it uses as much as digits as its factorization.

122101221020221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122101221020221 its reverse (122020122101221), we get a palindrome (244121343121442).

The spelling of 122101221020221 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, twenty thousand, two hundred twenty-one".