If you want to know what is the IP address that is assigned on your BlackBerry 10 smartphone, just go in Settings, then tap on “About”, then select “Network” from the drop-down menu.
You will find the basic info, ip address on the Wi-Fi network and on the mobile network.
If you need more, go back on “Network Connections”, tap “Wi-Fi”, then “Advanced”
In the various tabs you will find also the gateway ip address, the dns servers, diagnostics, ping, traceroute and other advanced settings.