100200232100 has 144 divisors (see below), whose sum is σ = 236264409360. Its totient is φ = 36736204800.

The previous prime is 100200232073. The next prime is 100200232103. The reversal of 100200232100 is 1232002001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 55783826596 + 44416405504 = 236186^2 + 210752^2 .

It is not an unprimeable number, because it can be changed into a prime (100200232103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56386412 + ... + 56388188.

It is an arithmetic number, because the mean of its divisors is an integer number (1640725065).

Almost surely, 2^100200232100 is an apocalyptic number.

100200232100 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 100200232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118132204680).

100200232100 is an abundant number, since it is smaller than the sum of its proper divisors (136064177260).

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

100200232100 is a wasteful number, since it uses less digits than its factorization.

100200232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100200232100 its reverse (1232002001), we get a palindrome (101432234101).

The spelling of 100200232100 in words is "one hundred billion, two hundred million, two hundred thirty-two thousand, one hundred".