200103222120032 has 192 divisors, whose sum is σ = 506214702766080. Its totient is φ = 75603485030400.

The previous prime is 200103222120013. The next prime is 200103222120059. The reversal of 200103222120032 is 230021222301002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200103222119986 and 200103222120013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4696982 + ... + 20549162.

It is an arithmetic number, because the mean of its divisors is an integer number (2636534910240).

Almost surely, 2^{200103222120032} is an apocalyptic number.

200103222120032 is a gapful number since it is divisible by the number (22) 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 200103222120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253107351383040).

200103222120032 is an abundant number, since it is smaller than the sum of its proper divisors (306111480646048).

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

200103222120032 is a wasteful number, since it uses less digits than its factorization.

200103222120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15852365 (or 15852357 counting only the distinct ones).

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

Adding to 200103222120032 its reverse (230021222301002), we get a palindrome (430124444421034).

The spelling of 200103222120032 in words is "two hundred trillion, one hundred three billion, two hundred twenty-two million, one hundred twenty thousand, thirty-two".