204882128100 has 216 divisors, whose sum is σ = 727991322240. Its totient is φ = 47778128640.

The previous prime is 204882128063. The next prime is 204882128149. The reversal of 204882128100 is 1821288402.

It is a super-2 number, since 2×204882128100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 238524 + ... + 683123.

Almost surely, 2^204882128100 is an apocalyptic number.

204882128100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204882128100 is an abundant number, since it is smaller than the sum of its proper divisors (523109194140).

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

204882128100 is a wasteful number, since it uses less digits than its factorization.

204882128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921699 (or 921689 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 204882128100 in words is "two hundred four billion, eight hundred eighty-two million, one hundred twenty-eight thousand, one hundred".