10022122082201 has 2 divisors, whose sum is σ = 10022122082202. Its totient is φ = 10022122082200.

The previous prime is 10022122082197. The next prime is 10022122082279. The reversal of 10022122082201 is 10228022122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7855267425625 + 2166854656576 = 2802725^2 + 1472024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022122082201 - 2² = 10022122082197 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022122082101) 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, 5011061041100 + 5011061041101.

It is an arithmetic number, because the mean of its divisors is an integer number (5011061041101).

Almost surely, 2^{10022122082201} is an apocalyptic number.

It is an amenable number.

10022122082201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022122082201 is an equidigital number, since it uses as much as digits as its factorization.

10022122082201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 10022122082201 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, eighty-two thousand, two hundred one".