101022201221017 has 2 divisors, whose sum is σ = 101022201221018. Its totient is φ = 101022201221016.

The previous prime is 101022201220979. The next prime is 101022201221059. The reversal of 101022201221017 is 710122102220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100529880078681 + 492321142336 = 10026459^2 + 701656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022201221017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022201221087) 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, 50511100610508 + 50511100610509.

It is an arithmetic number, because the mean of its divisors is an integer number (50511100610509).

Almost surely, 2^{101022201221017} is an apocalyptic number.

It is an amenable number.

101022201221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022201221017 is an equidigital number, since it uses as much as digits as its factorization.

101022201221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 101022201221017 its reverse (710122102220101), we get a palindrome (811144303441118).

The spelling of 101022201221017 in words is "one hundred one trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand, seventeen".