210022022122001 has 2 divisors, whose sum is σ = 210022022122002. Its totient is φ = 210022022122000.

The previous prime is 210022022121971. The next prime is 210022022122009. The reversal of 210022022122001 is 100221220220012.

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., 112449587850625 + 97572434271376 = 10604225^2 + 9877876^2 .

It is a cyclic number.

It is not a de Polignac number, because 210022022122001 - 2²² = 210022017927697 is a prime.

It is not a weakly prime, because it can be changed into another prime (210022022122009) 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, 105011011061000 + 105011011061001.

It is an arithmetic number, because the mean of its divisors is an integer number (105011011061001).

Almost surely, 2^{210022022122001} is an apocalyptic number.

It is an amenable number.

210022022122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210022022122001 is an equidigital number, since it uses as much as digits as its factorization.

210022022122001 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 210022022122001 its reverse (100221220220012), we get a palindrome (310243242342013).

The spelling of 210022022122001 in words is "two hundred ten trillion, twenty-two billion, twenty-two million, one hundred twenty-two thousand, one".