You can look at the "Object Browser" in your TestComplete application. That will give you the information about each application object. I'm not sure what QTP does, but TC doesn't actually physically store that information anywhere, it is gathered real-time and accessed real-time.
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In QTP you can hold down the control key while floating over an object then select with the mouse. The information is not stored anywhere. You get an a seperate browser that opens up and allows you to see all properties associated with that object.