Towering Product

What are the last two digits of

(220+1)(221+1)(222+1)(223+1)(221024+1) (2^{2^0} + 1) ( 2^{2^1} +1 ) ( 2^{2^2} + 1)(2^{2^3} + 1) \ldots (2^{2^{1024}} + 1 )

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