What is the outside diameter of the 21mm socket? With and without the protecting sleeve if possible...

I am not sure on the actual size. However it is the same diameter as a tradition socket. It will but ohm type rims but if you have aftermarket you may have issues.

Are these Chrome Moly, Chrome Vanadium, or something else?

per the Gear Wrench Website "GEARWRENCH offers a wide range of impact sockets in open stock and sets that are designed to deliver the performance and strength that the professional users require. They are made from chrome molybdenum alloy steel for exceptional strength and durability. Sockets have a manganese phosphate coating to resist corrosion. The sockets also feature highly visible laser etched markings and a secondary size hard stamping. The sockets feature off-corner loading to reduce fastener rounding. FEATURES High-strength impact socket for up to 3x longer life than regular thin wall impact sockets Thin wall socket design for access in confined spaces Protective outer sheath prevents damage to wheels"

Do these sockets have any coating to protect against corrosion?

They have the usual kosmoline film however once you use them and clean then you best use them. The coat is for storage before purchase. Ifor you will use them rarely keep away from moist places.

ASIN	B00CT9LQSK
Best Sellers Rank	#230,904 in Tools & Home Improvement ( See Top 100 in Tools & Home Improvement ) #326 in Metric Socket Sets
Bit Compatibilities	Hex-bolts, Hex-nuts, Lug Nuts
Brand	GEARWRENCH
Brand Name	GEARWRENCH
Customer Reviews	4.6 out of 5 stars 924 Reviews
Drive Bit Shank Style	1/2" Drive
Drive System	1/2" drive
Drive system	1/2" drive
Finish Types	Manganese Phosphate
Finish type	Manganese Phosphate
Global Trade Identification Number	00099575849466
Item Weight	358 g
Manufacturer	GEARWRENCH
Material	Metal
Material Type	Metal
Model Number	84946
Number of Pieces	3
Number of pieces	3
UPC	099575849466
Unit Count	1 Count

GEARWRENCH 3 Piece 1/2" Drive High-Strength Wheel Protector Impact Metric Socket Set | 84946

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