100122110022017 has 2 divisors, whose sum is σ = 100122110022018. Its totient is φ = 100122110022016.

The previous prime is 100122110021963. The next prime is 100122110022241. The reversal of 100122110022017 is 710220011221001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99899405310961 + 222704711056 = 9994969^2 + 471916^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122110022017 - 2¹² = 100122110017921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122110022017.

It is not a weakly prime, because it can be changed into another prime (100122110012017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061055011008 + 50061055011009.

It is an arithmetic number, because the mean of its divisors is an integer number (50061055011009).

Almost surely, 2^{100122110022017} is an apocalyptic number.

It is an amenable number.

100122110022017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122110022017 is an equidigital number, since it uses as much as digits as its factorization.

100122110022017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 100122110022017 its reverse (710220011221001), we get a palindrome (810342121243018).

The spelling of 100122110022017 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, twenty-two thousand, seventeen".