100221210201221 has 2 divisors, whose sum is σ = 100221210201222. Its totient is φ = 100221210201220.

The previous prime is 100221210201173. The next prime is 100221210201227. The reversal of 100221210201221 is 122102012122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75935730520321 + 24285479680900 = 8714111^2 + 4928030^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221210201221 - 2³⁰ = 100220136459397 is a prime.

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 100221210201221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221210201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110605100610 + 50110605100611.

It is an arithmetic number, because the mean of its divisors is an integer number (50110605100611).

Almost surely, 2^{100221210201221} is an apocalyptic number.

It is an amenable number.

100221210201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221210201221 is an equidigital number, since it uses as much as digits as its factorization.

100221210201221 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 100221210201221 its reverse (122102012122001), we get a palindrome (222323222323222).

The spelling of 100221210201221 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, two hundred one thousand, two hundred twenty-one".