200434434322100 has 288 divisors, whose sum is σ = 501154740043776. Its totient is φ = 68870264601600.

The previous prime is 200434434322037. The next prime is 200434434322147. The reversal of 200434434322100 is 1223434434002.

It is a congruent number.

It is an unprimeable number.

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, 748518437 + ... + 748786163.

It is an arithmetic number, because the mean of its divisors is an integer number (1740120625152).

Almost surely, 2^{200434434322100} is an apocalyptic number.

200434434322100 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 200434434322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250577370021888).

200434434322100 is an abundant number, since it is smaller than the sum of its proper divisors (300720305721676).

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

200434434322100 is a wasteful number, since it uses less digits than its factorization.

200434434322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268135 (or 268128 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 200434434322100 its reverse (1223434434002), we get a palindrome (201657868756102).

The spelling of 200434434322100 in words is "two hundred trillion, four hundred thirty-four billion, four hundred thirty-four million, three hundred twenty-two thousand, one hundred".