10002010220117 has 2 divisors, whose sum is σ = 10002010220118. Its totient is φ = 10002010220116.

The previous prime is 10002010220099. The next prime is 10002010220161. The reversal of 10002010220117 is 71102201020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8938820325796 + 1063189894321 = 2989786^2 + 1031111^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002010220117 - 2¹⁶ = 10002010154581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002010220095 and 10002010220104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002010222117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001005110058 + 5001005110059.

It is an arithmetic number, because the mean of its divisors is an integer number (5001005110059).

Almost surely, 2^{10002010220117} is an apocalyptic number.

It is an amenable number.

10002010220117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002010220117 is an equidigital number, since it uses as much as digits as its factorization.

10002010220117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10002010220117 its reverse (71102201020001), we get a palindrome (81104211240118).

The spelling of 10002010220117 in words is "ten trillion, two billion, ten million, two hundred twenty thousand, one hundred seventeen".