Nmap is an all-purpose network and port scanner. It can scan hundreds of hosts and ports quickly, across a variety of protocols and situations. Here are a few basic commands that you can use:
Check that ports 8200 and 8201 are listening on a host. The Pn flag tells nmap to skip the preliminary ping to see if the host is up.
nmap -p 8200,8201 10.0.1.10 -Pn