In MySQL -> INT(10) does not mean a 10-digit number, it means an integer with a display width of 10 digits. The maximum value for an INT in MySQL is 2147483647 (or 4294967295 if unsigned).
You can use a BIGINT instead of INT to store it as a numeric. Using BIGINT will save you 3 bytes per row over VARCHAR(10).
If you want to Store "Country + area + number separately". Try using a VARCHAR(20). This allows you the ability to store international phone numbers properly, should that need arise.