You can use latex or oil based. Just make sure its exterior. If you mobile home is metal make sure it can be used on metal....and if its been painted before with oil based you will have to use oil based again. You can paint oil based over latex paint, but not latex over oil based.
Depending on the material that makes up the exterior of your mobile home, the most used paint is latex paint. However, if the exterior is made of steel then you will need to use an oil based paint, so as to avoid rusting.