10100222220017 has 2 divisors, whose sum is σ = 10100222220018. Its totient is φ = 10100222220016.

The previous prime is 10100222220001. The next prime is 10100222220019. The reversal of 10100222220017 is 71002222200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7052296339456 + 3047925880561 = 2655616^2 + 1745831^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100222220017 - 2⁴ = 10100222220001 is a prime.

Together with 10100222220019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100222220019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050111110008 + 5050111110009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050111110009).

Almost surely, 2^{10100222220017} is an apocalyptic number.

It is an amenable number.

10100222220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100222220017 is an equidigital number, since it uses as much as digits as its factorization.

10100222220017 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 20.

Adding to 10100222220017 its reverse (71002222200101), we get a palindrome (81102444420118).

The spelling of 10100222220017 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred twenty thousand, seventeen".