100200300200 has 192 divisors, whose sum is σ = 312793729920. Its totient is φ = 28828800000.

The previous prime is 100200300173. The next prime is 100200300217. The reversal of 100200300200 is 2003002001.

It is a super-4 number, since 4×100200300200⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50051 + ... + 450450.

It is an arithmetic number, because the mean of its divisors is an integer number (1629134010).

Almost surely, 2^100200300200 is an apocalyptic number.

100200300200 is a gapful number since it is divisible by the number (10) 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 100200300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396864960).

100200300200 is an abundant number, since it is smaller than the sum of its proper divisors (212593429720).

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

100200300200 is a wasteful number, since it uses less digits than its factorization.

100200300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500548 (or 500539 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 100200300200 its reverse (2003002001), we get a palindrome (102203302201).

The spelling of 100200300200 in words is "one hundred billion, two hundred million, three hundred thousand, two hundred".