"what is the sort of application/dataset for which Mongo is particularly suited"
The majority of the NoSQL databases are based on Amazon's Dynamo: loosely coupled replication. MongoDB is one of the few (next to Hbase and a few others) that adopts Google BigTable's architecture: data is divided in Ranges, and each mongod node serves multiple Ranges.
This means MongoDB is able to provide atomicity where it's harder with other SQL databases. In particular, we need to be able to do some sort of "compare and swap" operation that is guaranteed to be atomic/consistent, while still being able to have our mongod nodes distributed over multiple datacenters.
In Dynamo-based architectures, in order to provide the same amount of atomicity, you always end up writing to at least half + 1 the amount of replicated nodes you have available in your cluster. This is more awkward, and reduces the flexibility of the whole (the atomicity guarantee Mongo provides also works for stored javascript procedures, for example).
Having said that, we're using MongoDB about 3 years in production at this point, but we're far from happy about the availability it provides (issues like MongoDB not detecting that a node has gone down, failing to fail over, etc). We run a HA service, and to date all of our failures in uptime have been either the fault of our hosting provider or mongodb not failing over when it should. As such, we're always looking for a better alternative to move to, but at the moment MongoDB is about as good as it gets.