Digits and Powers

Algebra Level 3

(((1010100)1,00010,000)100,0001,000,000)10,000,000\LARGE \left(\sqrt[1,000,000]{\left(\sqrt[10,000]{\left(\sqrt[100]{10^{10}}\right)^{1,000}}\right)^{100,000}}\right)^{10,000,000}

How many digits does the number above have when written in decimal representation?

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