21404334100 has 72 divisors (see below), whose sum is σ = 49376527200. Its totient is φ = 8030736000.

The previous prime is 21404334071. The next prime is 21404334113. The reversal of 21404334100 is 143340412.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 136131 + ... + 247669.

It is an arithmetic number, because the mean of its divisors is an integer number (685785100).

Almost surely, 2^21404334100 is an apocalyptic number.

21404334100 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 21404334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688263600).

21404334100 is an abundant number, since it is smaller than the sum of its proper divisors (27972193100).

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

21404334100 is a wasteful number, since it uses less digits than its factorization.

21404334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111673 (or 111666 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21404334100 its reverse (143340412), we get a palindrome (21547674512).

The spelling of 21404334100 in words is "twenty-one billion, four hundred four million, three hundred thirty-four thousand, one hundred".