100222211022221 has 2 divisors, whose sum is σ = 100222211022222. Its totient is φ = 100222211022220.

The previous prime is 100222211022169. The next prime is 100222211022223. The reversal of 100222211022221 is 122220112222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78664659876100 + 21557551146121 = 8869310^2 + 4643011^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222211022221 - 2³⁸ = 99947333115277 is a prime.

Together with 100222211022223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222211022193 and 100222211022202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222211022223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111105511110 + 50111105511111.

It is an arithmetic number, because the mean of its divisors is an integer number (50111105511111).

Almost surely, 2^{100222211022221} is an apocalyptic number.

It is an amenable number.

100222211022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222211022221 is an equidigital number, since it uses as much as digits as its factorization.

100222211022221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100222211022221 its reverse (122220112222001), we get a palindrome (222442323244222).

The spelling of 100222211022221 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred twenty-one".