200211210010117 has 2 divisors, whose sum is σ = 200211210010118. Its totient is φ = 200211210010116.

The previous prime is 200211210010093. The next prime is 200211210010193. The reversal of 200211210010117 is 711010012112002.

200211210010117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124462717313796 + 75748492696321 = 11156286^2 + 8703361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200211210010117 is a prime.

It is a super-2 number, since 2×200211210010117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200211210010094 and 200211210010103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200211210010517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105605005058 + 100105605005059.

It is an arithmetic number, because the mean of its divisors is an integer number (100105605005059).

Almost surely, 2^{200211210010117} is an apocalyptic number.

It is an amenable number.

200211210010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

200211210010117 is an equidigital number, since it uses as much as digits as its factorization.

200211210010117 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 19.

Adding to 200211210010117 its reverse (711010012112002), we get a palindrome (911221222122119).

The spelling of 200211210010117 in words is "two hundred trillion, two hundred eleven billion, two hundred ten million, ten thousand, one hundred seventeen".