10102010220217 has 2 divisors, whose sum is σ = 10102010220218. Its totient is φ = 10102010220216.

The previous prime is 10102010220163. The next prime is 10102010220283. The reversal of 10102010220217 is 71202201020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8880286760361 + 1221723459856 = 2979981^2 + 1105316^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102010220217 - 2¹¹ = 10102010218169 is a prime.

It is a super-2 number, since 2×10102010220217² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102010220194 and 10102010220203.

It is not a weakly prime, because it can be changed into another prime (10102010220917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051005110108 + 5051005110109.

It is an arithmetic number, because the mean of its divisors is an integer number (5051005110109).

Almost surely, 2^{10102010220217} is an apocalyptic number.

It is an amenable number.

10102010220217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102010220217 is an equidigital number, since it uses as much as digits as its factorization.

10102010220217 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 10102010220217 its reverse (71202201020101), we get a palindrome (81304211240318).

The spelling of 10102010220217 in words is "ten trillion, one hundred two billion, ten million, two hundred twenty thousand, two hundred seventeen".