11404104412100 has 108 divisors (see below), whose sum is σ = 26929415690940. Its totient is φ = 4188594585600.

The previous prime is 11404104412093. The next prime is 11404104412109. The reversal of 11404104412100 is 121440140411.

It can be written as a sum of positive squares in 18 ways, for example, as 7877272995904 + 3526831416196 = 2806648^2 + 1877986^2 .

It is not an unprimeable number, because it can be changed into a prime (11404104412109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3627365 + ... + 5997164.

Almost surely, 2^{11404104412100} is an apocalyptic number.

11404104412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404104412100 is an abundant number, since it is smaller than the sum of its proper divisors (15525311278840).

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

11404104412100 is a wasteful number, since it uses less digits than its factorization.

11404104412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9624618 (or 9624594 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 11404104412100 its reverse (121440140411), we get a palindrome (11525544552511).

The spelling of 11404104412100 in words is "eleven trillion, four hundred four billion, one hundred four million, four hundred twelve thousand, one hundred".