10004114402100 has 216 divisors, whose sum is σ = 38593650542720. Its totient is φ = 2110758186240.

The previous prime is 10004114402077. The next prime is 10004114402119. The reversal of 10004114402100 is 120441140001.

10004114402100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 11 + 440 + 210 + 0 = 666.

10004114402100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60993280 + ... + 61157079.

Almost surely, 2^{10004114402100} is an apocalyptic number.

10004114402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004114402100 is an abundant number, since it is smaller than the sum of its proper divisors (28589536140620).

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

10004114402100 is a wasteful number, since it uses less digits than its factorization.

10004114402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122150399 (or 122150389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10004114402100 its reverse (120441140001), we get a palindrome (10124555542101).

The spelling of 10004114402100 in words is "ten trillion, four billion, one hundred fourteen million, four hundred two thousand, one hundred".