10100400004 has 12 divisors (see below), whose sum is σ = 17738604828. Its totient is φ = 5032227200.

The previous prime is 10100399993. The next prime is 10100400017. The reversal of 10100400004 is 40000400101.

10100400004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7726761604 + 2373638400 = 87902^2 + 48720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4491937 + ... + 4494184.

It is an arithmetic number, because the mean of its divisors is an integer number (1478217069).

Almost surely, 2^10100400004 is an apocalyptic number.

It is an amenable number.

10100400004 is a deficient number, since it is larger than the sum of its proper divisors (7638204824).

10100400004 is a wasteful number, since it uses less digits than its factorization.

10100400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986406 (or 8986404 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10100400004 its reverse (40000400101), we get a palindrome (50100800105).

The spelling of 10100400004 in words is "ten billion, one hundred million, four hundred thousand, four".