100113302332200 has 384 divisors, whose sum is σ = 314554724352000. Its totient is φ = 26338110336000.

The previous prime is 100113302332117. The next prime is 100113302332207. The reversal of 100113302332200 is 2233203311001.

It is not an unprimeable number, because it can be changed into a prime (100113302332207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14222656281 + ... + 14222663319.

It is an arithmetic number, because the mean of its divisors is an integer number (819152928000).

Almost surely, 2^{100113302332200} is an apocalyptic number.

100113302332200 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 100113302332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157277362176000).

100113302332200 is an abundant number, since it is smaller than the sum of its proper divisors (214441422019800).

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

100113302332200 is a wasteful number, since it uses less digits than its factorization.

100113302332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100113302332200 its reverse (2233203311001), we get a palindrome (102346505643201).

The spelling of 100113302332200 in words is "one hundred trillion, one hundred thirteen billion, three hundred two million, three hundred thirty-two thousand, two hundred".