Write SQL query to solve given problem: What are the top 5 most popular movies of the 21st century? Indicate how many users gave it a rating score of 5.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT DISTINCT T2.movie_id, SUM(T1.rating_score = 5) FROM ratings AS T1 INNER JOIN movies AS T2 ON T1.movie_id = T2.movie_id ORDER BY T2.movie_popularity DESC LIMIT 5