Sony A6100 has a Sony E lens mount and currently there are 194 native lenses available for this mount.
The latest released lenses that are compatible with the A6100 are the Samyang 14mm F2.8, the Samyang 8mm F2.8 Fisheye and the Samyang 85mm F1.4.
Sony A6100 doesn't have a sensor based image stabilization system but
38 of these lenses already comes with optical image stabilization.
Since Sony A6100 has a APS-C sensor, it has a focal length multiplier of 1.5x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on A6100.
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Sony A6100 Lenses with Image Stabilization
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