21010122201001 has 2 divisors, whose sum is σ = 21010122201002. Its totient is φ = 21010122201000.

The previous prime is 21010122200989. The next prime is 21010122201017. The reversal of 21010122201001 is 10010222101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11229710357776 + 9780411843225 = 3351076^2 + 3127365^2 .

It is a cyclic number.

It is not a de Polignac number, because 21010122201001 - 2¹¹ = 21010122198953 is a prime.

It is not a weakly prime, because it can be changed into another prime (21010122208001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505061100500 + 10505061100501.

It is an arithmetic number, because the mean of its divisors is an integer number (10505061100501).

Almost surely, 2^{21010122201001} is an apocalyptic number.

It is an amenable number.

21010122201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21010122201001 is an equidigital number, since it uses as much as digits as its factorization.

21010122201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21010122201001 its reverse (10010222101012), we get a palindrome (31020344302013).

The spelling of 21010122201001 in words is "twenty-one trillion, ten billion, one hundred twenty-two million, two hundred one thousand, one".