100210100100017 has 2 divisors, whose sum is σ = 100210100100018. Its totient is φ = 100210100100016.

The previous prime is 100210100099959. The next prime is 100210100100167. The reversal of 100210100100017 is 710001001012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87733776290161 + 12476323809856 = 9366631^2 + 3532184^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210100100017 - 2³⁶ = 100141380623281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210100099974 and 100210100100010.

It is not a weakly prime, because it can be changed into another prime (100210100100917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105050050008 + 50105050050009.

It is an arithmetic number, because the mean of its divisors is an integer number (50105050050009).

Almost surely, 2^{100210100100017} is an apocalyptic number.

It is an amenable number.

100210100100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210100100017 is an equidigital number, since it uses as much as digits as its factorization.

100210100100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 100210100100017 its reverse (710001001012001), we get a palindrome (810211101112018).

The spelling of 100210100100017 in words is "one hundred trillion, two hundred ten billion, one hundred million, one hundred thousand, seventeen".