Is there another palindrome-Carmichael-number? $$101101$$ is a cute number indeed. It is the smallest palindrome-Carmichael-number. Furthermore, its square and its cube are also palindrome! And it is a "binary" number containing only the digits $0$ and $1$. There is no other palindrome-Carmichael-number upto $10^9$. > Is there another palindrome-Carmichael-number ?

$127665878878566721$

I used the annotated PSP-2 list from Feitsma and Galway, used a Perl script to find palindromes and verify Carmichael. That and $101101$ are the only ones in the file.