22100202120221 has 2 divisors, whose sum is σ = 22100202120222. Its totient is φ = 22100202120220.

The previous prime is 22100202120211. The next prime is 22100202120223. The reversal of 22100202120221 is 12202120200122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11525250952996 + 10574951167225 = 3394886^2 + 3251915^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100202120221 - 2¹⁰ = 22100202119197 is a prime.

Together with 22100202120223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22100202120221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100202120223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050101060110 + 11050101060111.

It is an arithmetic number, because the mean of its divisors is an integer number (11050101060111).

Almost surely, 2^{22100202120221} is an apocalyptic number.

It is an amenable number.

22100202120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100202120221 is an equidigital number, since it uses as much as digits as its factorization.

22100202120221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22100202120221 its reverse (12202120200122), we get a palindrome (34302322320343).

The spelling of 22100202120221 in words is "twenty-two trillion, one hundred billion, two hundred two million, one hundred twenty thousand, two hundred twenty-one".