100122201017 has 2 divisors, whose sum is σ = 100122201018. Its totient is φ = 100122201016.

The previous prime is 100122200999. The next prime is 100122201019. The reversal of 100122201017 is 710102221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52913340841 + 47208860176 = 230029^2 + 217276^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122201017 - 2²⁶ = 100055092153 is a prime.

Together with 100122201019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122200986 and 100122201004.

It is not a weakly prime, because it can be changed into another prime (100122201019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061100508 + 50061100509.

It is an arithmetic number, because the mean of its divisors is an integer number (50061100509).

Almost surely, 2^100122201017 is an apocalyptic number.

It is an amenable number.

100122201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122201017 is an equidigital number, since it uses as much as digits as its factorization.

100122201017 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 100122201017 its reverse (710102221001), we get a palindrome (810224422018).

The spelling of 100122201017 in words is "one hundred billion, one hundred twenty-two million, two hundred one thousand, seventeen".