Given how much larger the sensor is than the one in the LX7 and the addition of a built-in EVF, it's surprising that the LX100 isn't all that much bigger than the older model. It doesn't have a built-in flash, though.
Taking a leaf out of Fujifilm's book, the LX100 has both manual shutter-speed and aperture dials, along with the physical exposure-compensation dial. Though the sensor has an effective resolution of 12.8 megapixels, it's a multiaspect sensor with a gross resolution of 16 megapixels, so a photos resolution is 12.8 megapixels regardless of the aspect ratio you choose.
There's also a dedicated button for quickly applying filters.