10221001020017 has 2 divisors, whose sum is σ = 10221001020018. Its totient is φ = 10221001020016.

The previous prime is 10221001019947. The next prime is 10221001020047. The reversal of 10221001020017 is 71002010012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9311798722576 + 909202297441 = 3051524^2 + 953521^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221001020017 - 2¹⁰ = 10221001018993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221001019977 and 10221001020004.

It is not a weakly prime, because it can be changed into another prime (10221001020047) 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, 5110500510008 + 5110500510009.

It is an arithmetic number, because the mean of its divisors is an integer number (5110500510009).

Almost surely, 2^{10221001020017} is an apocalyptic number.

It is an amenable number.

10221001020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221001020017 is an equidigital number, since it uses as much as digits as its factorization.

10221001020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10221001020017 its reverse (71002010012201), we get a palindrome (81223011032218).

The spelling of 10221001020017 in words is "ten trillion, two hundred twenty-one billion, one million, twenty thousand, seventeen".