10004401200100 has 36 divisors (see below), whose sum is σ = 21714950519668. Its totient is φ = 4000765104000.

The previous prime is 10004401200043. The next prime is 10004401200107. The reversal of 10004401200100 is 100210440001.

10004401200100 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 6 ways, for example, as 4809985876224 + 5194415323876 = 2193168^2 + 2279126^2 .

It is not an unprimeable number, because it can be changed into a prime (10004401200107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12038091 + ... + 12842290.

Almost surely, 2^{10004401200100} is an apocalyptic number.

10004401200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004401200100 is an abundant number, since it is smaller than the sum of its proper divisors (11710549319568).

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

10004401200100 is a wasteful number, since it uses less digits than its factorization.

10004401200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884416 (or 24884409 counting only the distinct ones).

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

Adding to 10004401200100 its reverse (100210440001), we get a palindrome (10104611640101).

The spelling of 10004401200100 in words is "ten trillion, four billion, four hundred one million, two hundred thousand, one hundred".