10021002221201 has 2 divisors, whose sum is σ = 10021002221202. Its totient is φ = 10021002221200.

The previous prime is 10021002221189. The next prime is 10021002221231. The reversal of 10021002221201 is 10212220012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5864606673025 + 4156395548176 = 2421695^2 + 2038724^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021002221201 - 2¹⁸ = 10021001959057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021002221231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010501110600 + 5010501110601.

It is an arithmetic number, because the mean of its divisors is an integer number (5010501110601).

Almost surely, 2^{10021002221201} is an apocalyptic number.

It is an amenable number.

10021002221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021002221201 is an equidigital number, since it uses as much as digits as its factorization.

10021002221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10021002221201 its reverse (10212220012001), we get a palindrome (20233222233202).

The spelling of 10021002221201 in words is "ten trillion, twenty-one billion, two million, two hundred twenty-one thousand, two hundred one".