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Dear visitors and friends of the site,
thank you for your solutions.
The first to send a correct one was Jacob. Well done!
Here is my solution and welcome to the April's problem!
The initial number can be presented as 1111*102012 + 1111*102008 +…+1111*104+1111*1.
As 1111 is a multiple of 101, the above is also a multiple of 101.