10401240100 has 18 divisors (see below), whose sum is σ = 22570691234. Its totient is φ = 4160496000.

The previous prime is 10401240071. The next prime is 10401240121. The reversal of 10401240100 is 104210401.

10401240100 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 3 ways, for example, as 1512898816 + 8888341284 = 38896^2 + 94278^2 .

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 5 ways as a sum of consecutive naturals, for example, 52006101 + ... + 52006300.

Almost surely, 2^10401240100 is an apocalyptic number.

10401240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401240100 is an abundant number, since it is smaller than the sum of its proper divisors (12169451134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10401240100 is a wasteful number, since it uses less digits than its factorization.

10401240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104012415 (or 104012408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10401240100 its reverse (104210401), we get a palindrome (10505450501).

The spelling of 10401240100 in words is "ten billion, four hundred one million, two hundred forty thousand, one hundred".