200675372100 has 288 divisors, whose sum is σ = 694371557376. Its totient is φ = 43779916800.

The previous prime is 200675372089. The next prime is 200675372113. The reversal of 200675372100 is 1273576002.

200675372100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4731187 + ... + 4773413.

It is an arithmetic number, because the mean of its divisors is an integer number (2411012352).

Almost surely, 2^200675372100 is an apocalyptic number.

200675372100 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 200675372100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347185778688).

200675372100 is an abundant number, since it is smaller than the sum of its proper divisors (493696185276).

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

200675372100 is a wasteful number, since it uses less digits than its factorization.

200675372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42355 (or 42348 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 200675372100 in words is "two hundred billion, six hundred seventy-five million, three hundred seventy-two thousand, one hundred".