100022010018221 has 2 divisors, whose sum is σ = 100022010018222. Its totient is φ = 100022010018220.

The previous prime is 100022010018209. The next prime is 100022010018223. The reversal of 100022010018221 is 122810010220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99921235515721 + 100774502500 = 9996061^2 + 317450^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022010018221 - 2⁶ = 100022010018157 is a prime.

Together with 100022010018223, 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 = 100022010018193 and 100022010018202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022010018223) 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 as a sum of consecutive naturals, namely, 50011005009110 + 50011005009111.

It is an arithmetic number, because the mean of its divisors is an integer number (50011005009111).

Almost surely, 2^{100022010018221} is an apocalyptic number.

It is an amenable number.

100022010018221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022010018221 is an equidigital number, since it uses as much as digits as its factorization.

100022010018221 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 20.

Adding to 100022010018221 its reverse (122810010220001), we get a palindrome (222832020238222).

The spelling of 100022010018221 in words is "one hundred trillion, twenty-two billion, ten million, eighteen thousand, two hundred twenty-one".