The Fujifilm X100T successor will be called Fujifilm X100F, which was originally scheduled to be announced at Photokina 2016 in September, but unfortunately delayed because of the Kumamoto earthquake in Japan.
According to the report from FujiRumors, the upcoming Fujifilm X100F camera will be announced in January 2017, probably at CES 2017, NOT the previous rumored February.
Fujifilm X100F Rumored Specs:
A newly designed 23mm lens (35mm equiv.)
Enhanced hybrid VF with better EVF refresh rate
Digital converter 35/50
The Fujifilm X100T is currently on sale ($200 off) at Amazon, B&H, Adorama for $1,099.