200133332100 has 162 divisors, whose sum is σ = 679273571886. Its totient is φ = 49263552000.

The previous prime is 200133332089. The next prime is 200133332123. The reversal of 200133332100 is 1233331002.

200133332100 is a `hidden beast` number, since 200 + 1 + 33 + 332 + 100 = 666.

200133332100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 88812344196 + 111320987904 = 298014^2 + 333648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 505801 + ... + 810000.

Almost surely, 2^200133332100 is an apocalyptic number.

200133332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200133332100 is an abundant number, since it is smaller than the sum of its proper divisors (479140239786).

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

200133332100 is a wasteful number, since it uses less digits than its factorization.

200133332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315847 (or 1315824 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200133332100 its reverse (1233331002), we get a palindrome (201366663102).

The spelling of 200133332100 in words is "two hundred billion, one hundred thirty-three million, three hundred thirty-two thousand, one hundred".