21104102104400 has 240 divisors, whose sum is σ = 58207105756800. Its totient is φ = 7203089203200.

The previous prime is 21104102104357. The next prime is 21104102104469. The reversal of 21104102104400 is 440120140112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3608152676 + ... + 3608158524.

It is an arithmetic number, because the mean of its divisors is an integer number (242529607320).

Almost surely, 2^{21104102104400} is an apocalyptic number.

21104102104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21104102104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29103552878400).

21104102104400 is an abundant number, since it is smaller than the sum of its proper divisors (37103003652400).

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

21104102104400 is a wasteful number, since it uses less digits than its factorization.

21104102104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21104102104400 its reverse (440120140112), we get a palindrome (21544222244512).

The spelling of 21104102104400 in words is "twenty-one trillion, one hundred four billion, one hundred two million, one hundred four thousand, four hundred".