This camera supports an SD|SDHC|SDXC memory card, which is typical of many digital cameras of a comparable type and age to it. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
There are a number of alternative cameras that support an SD|SDHC|SDXC memory currently available which you might also want to look at including the D-Lux (Typ 109)[pl_2777348_price], or the D-Lux (Typ 109)[pl_2777348_price] both from Leica or the Sigma DP3 Quattro[plb_3287026_price] which has better reviews.
If the memory card type of this camera is too bad for you then you might want to look at the Sony DSC-RX100M3[plb_2305908_price] (MicroSD (TransFlash)|MicroSDHC|MicroSDXC|MS Duo|MS Micro (M2)|MS PRO Duo|MS PRO Duo HS|MS Pro-HG Duo|MS XC-HG Duo|SD|SDHC|SDXC) which also has a higher rating.