20102221222001 has 2 divisors, whose sum is σ = 20102221222002. Its totient is φ = 20102221222000.

The previous prime is 20102221221991. The next prime is 20102221222003. The reversal of 20102221222001 is 10022212220102.

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., 18214125375601 + 1888095846400 = 4267801^2 + 1374080^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102221222001 - 2¹⁸ = 20102220959857 is a prime.

Together with 20102221222003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20102221222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051110611000 + 10051110611001.

It is an arithmetic number, because the mean of its divisors is an integer number (10051110611001).

Almost surely, 2^{20102221222001} is an apocalyptic number.

It is an amenable number.

20102221222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102221222001 is an equidigital number, since it uses as much as digits as its factorization.

20102221222001 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 17.

Adding to 20102221222001 its reverse (10022212220102), we get a palindrome (30124433442103).

The spelling of 20102221222001 in words is "twenty trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-two thousand, one".