Level of award - International/Institutional
The standard definition, in my experience is if an award is only available to individuals at/applying to a specific single institution, it is institutional. If the award is only available to individuals in/applying to a particular country it is national, regardless of citizenship requirements. If the award can be used at any institution in any country it is a international award, again regardless of citizenship requirements.

The Gates Cambridge fellowship is open to anyone, but can only be used at Cambridge and is therefore a national award.