Is there a fixed supply of bitcoins around the wolrd or is it printable like $?
There is not a fixed supply...yet. However, it's not printable...it's minable.
There will only ever by 21 million bitcoins created, mined. And we will not have mined them all until 2120-2140. The exact date depends on transaction volume between now and then.
After that no new bitcoin will ever be mined.