243004021322100 has 288 divisors, whose sum is σ = 716736079288320. Its totient is φ = 63554866652160.

The previous prime is 243004021322059. The next prime is 243004021322107. The reversal of 243004021322100 is 1223120400342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243004021322107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7830488184 + ... + 7830519216.

Almost surely, 2^{243004021322100} is an apocalyptic number.

243004021322100 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 243004021322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358368039644160).

243004021322100 is an abundant number, since it is smaller than the sum of its proper divisors (473732057966220).

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

243004021322100 is a wasteful number, since it uses less digits than its factorization.

243004021322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33319 (or 33312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243004021322100 its reverse (1223120400342), we get a palindrome (244227141722442).

The spelling of 243004021322100 in words is "two hundred forty-three trillion, four billion, twenty-one million, three hundred twenty-two thousand, one hundred".