100200433004 has 144 divisors (see below), whose sum is σ = 211504154400. Its totient is φ = 41390383104.

The previous prime is 100200432953. The next prime is 100200433013. The reversal of 100200433004 is 400334002001.

100200433004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 372492182 + ... + 372492450.

It is an arithmetic number, because the mean of its divisors is an integer number (1468778850).

Almost surely, 2^100200433004 is an apocalyptic number.

100200433004 is a gapful number since it is divisible by the number (14) 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 100200433004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105752077200).

100200433004 is an abundant number, since it is smaller than the sum of its proper divisors (111303721396).

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

100200433004 is a wasteful number, since it uses less digits than its factorization.

100200433004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 100200433004 its reverse (400334002001), we get a palindrome (500534435005).

The spelling of 100200433004 in words is "one hundred billion, two hundred million, four hundred thirty-three thousand, four".