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MLM has attracted much attention over the last two decades. MLM activities include philosophical discussions about ontologies, requirements and relevant services, and development of theories, languages, and tools. Approaches differ in their support for MLM concepts on the levels of syntax, semantics and pragmatics. The Mediation-based MLM (MedMLM), is a formal theory that defines a multilevel model as an ordered collection of levels that are inter-related by mediators, and can be enriched by inter-level relationships and interactions. The levels of MedMLM are plain class models, and the mediators define inter-level instantiation relations. MedMLM is unique in supporting a modular architecture of levels and mediators. This paper introduces the MedMLM software modeling tool, that is built on top of the FOModeLer class modeling tool. The tool supports MLM construction, querying and reasoning, meta-reasoning, validation, syntax verification, and plain computation. We also compare the MedMLM tool with older MLM approaches using semantic, syntactic, and pragmatic MLM criteria.