200322322102100 has 144 divisors (see below), whose sum is σ = 477209685750336. Its totient is φ = 72385305600000.

The previous prime is 200322322102061. The next prime is 200322322102117. The reversal of 200322322102100 is 1201223223002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362626100 + ... + 363178100.

It is an arithmetic number, because the mean of its divisors is an integer number (3313956151044).

Almost surely, 2^{200322322102100} is an apocalyptic number.

200322322102100 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 200322322102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238604842875168).

200322322102100 is an abundant number, since it is smaller than the sum of its proper divisors (276887363648236).

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

200322322102100 is a wasteful number, since it uses less digits than its factorization.

200322322102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554106 (or 554099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 200322322102100 its reverse (1201223223002), we get a palindrome (201523545325102).

The spelling of 200322322102100 in words is "two hundred trillion, three hundred twenty-two billion, three hundred twenty-two million, one hundred two thousand, one hundred".