Sony a5100 has a Sony E (NEX) lens mount and currently there are 59 native lenses available for this mount.
Sony a5100 doesn't have a sensor based image stabilization system but 22 of these lenses already comes with optical image stabilization.
Since Sony a5100 has a APS-C sensor, it has a focal length multiplier of 1.5× 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 a5100.
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Sony a5100 Lenses with Image Stabilization
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