100123312200 has 192 divisors, whose sum is σ = 329248748160. Its totient is φ = 25082449920.

The previous prime is 100123312189. The next prime is 100123312213. The reversal of 100123312200 is 2213321001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100123312200.

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, 5672589 + ... + 5690211.

It is an arithmetic number, because the mean of its divisors is an integer number (1714837230).

Almost surely, 2^100123312200 is an apocalyptic number.

100123312200 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 100123312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164624374080).

100123312200 is an abundant number, since it is smaller than the sum of its proper divisors (229125435960).

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

100123312200 is a wasteful number, since it uses less digits than its factorization.

100123312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100123312200 its reverse (2213321001), we get a palindrome (102336633201).

The spelling of 100123312200 in words is "one hundred billion, one hundred twenty-three million, three hundred twelve thousand, two hundred".