10012345678901

This number is a prime.

                                                             1001 2345678901

The smallest emirp with the pandigital string 0123456789 that remains an emirp by deleting the latter's digit 0: 1012345678901. [Beedassy]

The smallest emirp formed by inserting the digit sequence, 0123456789, in between a double-digit number and its reversal, i.e. between 10 and 01. [Loungrides]