try{
        if  (android.provider.Settings.System.getInt(getContentResolver(),Settings.System.ACCELEROMETER_ROTATION, 0) == 1){
            android.provider.Settings.System.putInt(getContentResolver(),Settings.System.ACCELEROMETER_ROTATION, 0);
            Toast.makeText(Rotation.this, "Rotation OFF", Toast.LENGTH_SHORT).show();
            finish();
            }
        else{
            android.provider.Settings.System.putInt(getContentResolver(), Settings.System.ACCELEROMETER_ROTATION, 1);
            Toast.makeText(Rotation.this, "Rotation ON", Toast.LENGTH_SHORT).show();
            finish();
            }
        }
        catch(Exception e){
            e.printStackTrace();
            Toast.makeText(Rotation.this, "Try failed!", Toast.LENGTH_SHORT).show();
            finish();
        }

위 코드가 도움이 되겠네요.

아참 퍼미션도 주셔야 합니다.

android.permission.WRITE_SETTINGS