21342324100 has 72 divisors (see below), whose sum is σ = 46745098400. Its totient is φ = 8457523200.

The previous prime is 21342324089. The next prime is 21342324103. The reversal of 21342324100 is 142324312.

It is not an unprimeable number, because it can be changed into a prime (21342324103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7935556 + ... + 7938244.

Almost surely, 2^21342324100 is an apocalyptic number.

21342324100 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 21342324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372549200).

21342324100 is an abundant number, since it is smaller than the sum of its proper divisors (25402774300).

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

21342324100 is a wasteful number, since it uses less digits than its factorization.

21342324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3406 counting only the distinct ones).

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

Adding to 21342324100 its reverse (142324312), we get a palindrome (21484648412).

The spelling of 21342324100 in words is "twenty-one billion, three hundred forty-two million, three hundred twenty-four thousand, one hundred".