10101022100017 has 2 divisors, whose sum is σ = 10101022100018. Its totient is φ = 10101022100016.

The previous prime is 10101022100009. The next prime is 10101022100023. The reversal of 10101022100017 is 71000122010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10096099534096 + 4922565921 = 3177436^2 + 70161^2 .

It is an emirp because it is prime and its reverse (71000122010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101022100017 - 2³ = 10101022100009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101022100077) 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, 5050511050008 + 5050511050009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050511050009).

Almost surely, 2^{10101022100017} is an apocalyptic number.

It is an amenable number.

10101022100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101022100017 is an equidigital number, since it uses as much as digits as its factorization.

10101022100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10101022100017 its reverse (71000122010101), we get a palindrome (81101144110118).

The spelling of 10101022100017 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred thousand, seventeen".