100200100200 has 192 divisors, whose sum is σ = 315606049920. Its totient is φ = 26294400000.

The previous prime is 100200100199. The next prime is 100200100211. The reversal of 100200100200 is 2001002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 10115250 + ... + 10125150.

It is an arithmetic number, because the mean of its divisors is an integer number (1643781510).

Almost surely, 2^100200100200 is an apocalyptic number.

100200100200 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 100200100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157803024960).

100200100200 is an abundant number, since it is smaller than the sum of its proper divisors (215405949720).

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

100200100200 is a wasteful number, since it uses less digits than its factorization.

100200100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100200100200 its reverse (2001002001), we get a palindrome (102201102201).

The spelling of 100200100200 in words is "one hundred billion, two hundred million, one hundred thousand, two hundred".