$\begin{array}{l} M = {2^{2010}} - \left( {{2^{2009}} + {2^{2008}} + .... + {2^1} + {2^0}} \right)\\ Dat:A = {2^{2009}} + {2^{2008}} + .... + {2^1} + {2^0}\\ = > 2A = {2^{2020}} + {2^{2009}} + {2^{2008}} + .... + {2^1}\\ = > 2A - A = \left( {{2^{2020}} + {2^{2009}} + {2^{2008}} + .... + {2^1}} \right) - \left( {{2^{2009}} + {2^{2008}} + .... + {2^1} + {2^0}} \right)\\ = > A = {2^{2020}} - {2^0} = {2^{2020}} - 1\\ = > M = {2^{2020}} - \left( {{2^{2020}} - 1} \right)\\ = {2^{2020}} - {2^{2020}} + 1\\ = 1 \end{array}$

Vậy M=1