How to check a given Type is a certain object using reflection?

Suppose there is the code

sealed trait SomeTrait
case class SomeClass() extends SomeTrait
case object SomeObject extends SomeTrait

And then the someTraitType: Type is obtained via reflection.

To check that someTraitType is the type of SomeClass it can be done easily someTraitType =:= typeOf[SomeClass].

The question is how can someTraitType be checked that is SomeObject?

And a following question, can the SomeObject instance be obtained from having corresponding Type so a simple == can be performed?