21034404100 has 72 divisors (see below), whose sum is σ = 48082096160. Its totient is φ = 7965112320.

The previous prime is 21034404089. The next prime is 21034404121. The reversal of 21034404100 is 140443012.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 3316132 + ... + 3322468.

Almost surely, 2^21034404100 is an apocalyptic number.

21034404100 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 21034404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24041048080).

21034404100 is an abundant number, since it is smaller than the sum of its proper divisors (27047692060).

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

21034404100 is a wasteful number, since it uses less digits than its factorization.

21034404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21034404100 its reverse (140443012), we get a palindrome (21174847112).

The spelling of 21034404100 in words is "twenty-one billion, thirty-four million, four hundred four thousand, one hundred".