100021546500200 has 48 divisors (see below), whose sum is σ = 250438564512780. Its totient is φ = 36931032552960.

The previous prime is 100021546500193. The next prime is 100021546500241. The reversal of 100021546500200 is 2005645120001.

It can be written as a sum of positive squares in 6 ways, for example, as 16556256447844 + 83465290052356 = 4068938^2 + 9135934^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 100021546500200.

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 11 ways as a sum of consecutive naturals, for example, 19234910189 + ... + 19234915388.

Almost surely, 2^{100021546500200} is an apocalyptic number.

100021546500200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021546500200 is an abundant number, since it is smaller than the sum of its proper divisors (150417018012580).

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

100021546500200 is a wasteful number, since it uses less digits than its factorization.

100021546500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469825606 (or 38469825597 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 100021546500200 in words is "one hundred trillion, twenty-one billion, five hundred forty-six million, five hundred thousand, two hundred".