10201220221001 has 2 divisors, whose sum is σ = 10201220221002. Its totient is φ = 10201220221000.

The previous prime is 10201220220991. The next prime is 10201220221021. The reversal of 10201220221001 is 10012202210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6476999550025 + 3724220670976 = 2544995^2 + 1929824^2 .

It is an emirp because it is prime and its reverse (10012202210201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201220221001 - 2²² = 10201216026697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201220221021) 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, 5100610110500 + 5100610110501.

It is an arithmetic number, because the mean of its divisors is an integer number (5100610110501).

Almost surely, 2^{10201220221001} is an apocalyptic number.

It is an amenable number.

10201220221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201220221001 is an equidigital number, since it uses as much as digits as its factorization.

10201220221001 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 10201220221001 its reverse (10012202210201), we get a palindrome (20213422431202).

The spelling of 10201220221001 in words is "ten trillion, two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one".