100202020021217 has 2 divisors, whose sum is σ = 100202020021218. Its totient is φ = 100202020021216.

The previous prime is 100202020021171. The next prime is 100202020021223. The reversal of 100202020021217 is 712120020202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98266696657936 + 1935323363281 = 9912956^2 + 1391159^2 .

It is an emirp because it is prime and its reverse (712120020202001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100202020021217 - 2¹⁸ = 100202019759073 is a prime.

It is a super-2 number, since 2×100202020021217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100202020021517) 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, 50101010010608 + 50101010010609.

It is an arithmetic number, because the mean of its divisors is an integer number (50101010010609).

Almost surely, 2^{100202020021217} is an apocalyptic number.

It is an amenable number.

100202020021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202020021217 is an equidigital number, since it uses as much as digits as its factorization.

100202020021217 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 100202020021217 its reverse (712120020202001), we get a palindrome (812322040223218).

The spelling of 100202020021217 in words is "one hundred trillion, two hundred two billion, twenty million, twenty-one thousand, two hundred seventeen".