Google just posted the Android security update for January 2017 and the files are already live for a number of devices.
So far, we are seeing 7.1.1 files for Pixel and Pixel XL (NMF26U, NMF26V), Pixel C (N4F26I), Nexus 6P (N4F26I, N4F26J), Nexus 5X (N4F26I), Nexus Player (NMF26R), and Nexus 9 (N4F26M).
You can grab each image or OTA file at the links below. For instructions on how to flash a factory image, here you go. For instructions on how to flash an OTA .zip file, here you go.
Links: Factory Images | OTA Files | Security Bulletin