Palindromic Suicide

We note that from 1 to 100, all multiples of 11 are $\textbf{not}$ palindromic suicides. From 1 to 100, multiples of 11 are the only palindromes and only multiples of 11 can be expressed as sum of palindromes. In other words, all non-multiples of 11 are palindromic suicides.

The table shown above helps to illustrates what happens from 101 to 200 and a glimpse of what goes on afterwards. The ones in $\textcolor{#20A900}{green}$ are numbers which are palindromes or sum of palindromes. Note that once a palindrome is spotted, moving in diagonal gives you palindromes too.(successive addings of 11 to the original palindrome).

One key fact is if $x$ , $x+1$ , $x+2$ , $x+3$ , $x+4$ , $x+5$ , $x+6$ , $x+7$ , $x+8$ , $x+9$ , $x+10$ are palindromes or can be written as sum of palindromes, then no more palindromic suicides will occur as the list goes on.

We refer to the table above so the largest palindromic suicide is $\boxed{201}$ .