10221010010117 has 2 divisors, whose sum is σ = 10221010010118. Its totient is φ = 10221010010116.

The previous prime is 10221010010077. The next prime is 10221010010191. The reversal of 10221010010117 is 71101001012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5306568352801 + 4914441657316 = 2303599^2 + 2216854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221010010117 is a prime.

It is a super-3 number, since 3×10221010010117³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221010010095 and 10221010010104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221010610117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505005058 + 5110505005059.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505005059).

Almost surely, 2^{10221010010117} is an apocalyptic number.

It is an amenable number.

10221010010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221010010117 is an equidigital number, since it uses as much as digits as its factorization.

10221010010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10221010010117 its reverse (71101001012201), we get a palindrome (81322011022318).

The spelling of 10221010010117 in words is "ten trillion, two hundred twenty-one billion, ten million, ten thousand, one hundred seventeen".