100102020021217 has 2 divisors, whose sum is σ = 100102020021218. Its totient is φ = 100102020021216.

The previous prime is 100102020021191. The next prime is 100102020021257. The reversal of 100102020021217 is 712120020201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99606867144976 + 495152876241 = 9980324^2 + 703671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102020021217 is a prime.

It is a super-2 number, since 2×100102020021217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102020021194 and 100102020021203.

It is not a weakly prime, because it can be changed into another prime (100102020021257) 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, 50051010010608 + 50051010010609.

It is an arithmetic number, because the mean of its divisors is an integer number (50051010010609).

Almost surely, 2^{100102020021217} is an apocalyptic number.

It is an amenable number.

100102020021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102020021217 is an equidigital number, since it uses as much as digits as its factorization.

100102020021217 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 19.

Adding to 100102020021217 its reverse (712120020201001), we get a palindrome (812222040222218).

The spelling of 100102020021217 in words is "one hundred trillion, one hundred two billion, twenty million, twenty-one thousand, two hundred seventeen".