For example Spring announced that Kotlin will be first class citizen with next major release. So things are definitely bright on the server side.
In another I used Spring Boot where Kotlin felt like a native in that environment.
I'm guessing if you are building something with ORMs or similar where Java Bean convention is needed, you might lack the beauty of immutability and data classes (there are workarounds though) but other than that most pieces drop in place without a hitch.
https://github.com/corda/corda
It's a distributed ledger/blockchain system being written for large, conservative banks and is around ~90%+ Kotlin code.
There's not much to say about it, it works fine, I wrote about it here:
https://www.reddit.com/r/programming/comments/6bqo7n/kotlin_...
When you have the option to use Java 8 without caveats (unlike in Android), the benefits of Kotlin aren't really _that_ visible.
I'm never going back to Java on Android though.