210002002001117 has 2 divisors, whose sum is σ = 210002002001118. Its totient is φ = 210002002001116.

The previous prime is 210002002001089. The next prime is 210002002001137. The reversal of 210002002001117 is 711100200200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183365884882756 + 26636117118361 = 13541266^2 + 5161019^2 .

It is a cyclic number.

It is not a de Polignac number, because 210002002001117 - 2³⁴ = 209984822131933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210002002001095 and 210002002001104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210002002001137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001001000558 + 105001001000559.

It is an arithmetic number, because the mean of its divisors is an integer number (105001001000559).

Almost surely, 2^{210002002001117} is an apocalyptic number.

It is an amenable number.

210002002001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210002002001117 is an equidigital number, since it uses as much as digits as its factorization.

210002002001117 is an evil number, because the sum of its binary digits is even.

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

Adding to 210002002001117 its reverse (711100200200012), we get a palindrome (921102202201129).

The spelling of 210002002001117 in words is "two hundred ten trillion, two billion, two million, one thousand, one hundred seventeen".