10201404004 has 27 divisors (see below), whose sum is σ = 19627223763. Its totient is φ = 4635991800.

The previous prime is 10201403881. The next prime is 10201404007. The reversal of 10201404004 is 40040410201.

The square root of 10201404004 is 101002.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201404007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2219749 + ... + 2224339.

Almost surely, 2^10201404004 is an apocalyptic number.

10201404004 is the 101002-nd square number.

It is an amenable number.

10201404004 is a deficient number, since it is larger than the sum of its proper divisors (9425819759).

10201404004 is an frugal number, since it uses more digits than its factorization.

10201404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 10201404004 by its sum of digits (16), we get a square (163222464064 = 404008²).

Adding to 10201404004 its reverse (40040410201), we get a palindrome (50241814205).

It can be divided in two parts, 1020140 and 4004, that added together give a square (1024144 = 1012²).

The spelling of 10201404004 in words is "ten billion, two hundred one million, four hundred four thousand, four".