How to deal with Database Column with DEFAULT value in SPA(ASP.NET MVC SPA)

Question

Code First Class:

public class Product
{
  [Key, DatabaseGenerated(DatabaseGeneratedOption.Identity)]
  public int ProductId{ get; set; }
  [MaxLength(256), Required]
  public string ProductName { get; set; }
  public DateTime CreatedTime { get; set; }
}

In the database, i give the CreatedTime Column the DEFAULT value "(getdate())", so that the database will generate a value for us on insert operation.

My Question: Is there some kind of DataAnnotations/something else that can do the following things:

1. can tell Entity Framework(Code First Mode) to include CreateTime when Building up the Database;
2. can tell EF NOT to include CreateTime when Inserting a new column into the Database;
3. can tell EF to retrieve back all the columns including CreateTime when Selecting from the database.

So that, I can treat the CreatedTime Column in the Client Side the same as the ProductId Column(which is the Identity Column: value Only can be generated by the Database; will NOT be included when Inserting a new column; will be included when Selecting...).

I think it's much more clear now, sorry for the misunderstanding!

Dean