Sometimes the cause of this problem is software such as the Epson scanner software. For the files that have this error try to find the program that is creating those files and see if an upgrade of the software is available.
Similar issues occur with portable media devices, especially cameras and other devices with photographic functions. These are often issues with the device's firmware/operating system, whereby they simply do not set the LastModified stamp at all, meaning the result is either blank or contains corrupt/garbage information. Such a property may be mis-interpreted by other firmware and/or operating systems trying to read it (which may then result in that process reporting a valid but inappropriate default date/time such as midnight Dec 31 1899)