122102210201221 has 16 divisors (see below), whose sum is σ = 129332100555504. Its totient is φ = 114877592976384.

The previous prime is 122102210201203. The next prime is 122102210201249. The reversal of 122102210201221 is 122102012201221.

It can be written as a sum of positive squares in 8 ways, for example, as 22450406570596 + 99651803630625 = 4738186^2 + 9982575^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102210201221 - 2⁹ = 122102210200709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102210201261) 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, 762615451 + ... + 762775543.

It is an arithmetic number, because the mean of its divisors is an integer number (8083256284719).

Almost surely, 2^{122102210201221} is an apocalyptic number.

It is an amenable number.

122102210201221 is a deficient number, since it is larger than the sum of its proper divisors (7229890354283).

122102210201221 is a wasteful number, since it uses less digits than its factorization.

122102210201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176280.

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

Adding to 122102210201221 its reverse (122102012201221), we get a palindrome (244204222402442).

The spelling of 122102210201221 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred ten million, two hundred one thousand, two hundred twenty-one".