Inserting a "date-time" into TIMESTAMP column -- "Incorrect datetime value"

I have a date-time data that comes in this format:

2016-02-10T12:00:00.000Z

I've created a MariaDb database and a column for that date of type TIMESTAMP However, when inserting the data into the column, I'll get an exception:

Db error: Incorrect datetime value: 2016-02-10T12:00:00.000Z for column my_db.my_table.dt_column

I've tried to replace Z with '+00:00' -- to no avail, the error remained the same. What's incorrect about it? Should I tweak the data type of my column somehow? Or should I preprocess the value itself? How?