Solar panels can charge lithium batteries, but an MPPT solar charge controller is required. More current goes into the battery when an MPPT controller is used, which leads to faster battery charging. This is a step by step guide to charging lithium batteries with solar panels.
[pdf] It typically takes about 1 to 4 hours to fully charge a lithium-ion battery, depending on the device and charger used. Most smartphones fully charge in approximately 1.5 to 2.5 hours with a standard charger. In contrast, larger devices like laptops can take about 2 to 4 hours for a complete charge.
[pdf] Need a massive battery for your project? This lithium-ion pack is made of 3 balanced 2200mAh cells for a total of 6600mA capacity! The cells are connected in parallel and spot-welded to a protection circuit that provides over-voltage, under-voltage, and over-current protection.
[pdf]