100023120100200 has 1152 divisors, whose sum is σ = 352628592825600. Its totient is φ = 23427101491200.

The previous prime is 100023120100193. The next prime is 100023120100201. The reversal of 100023120100200 is 2001021320001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100023120100201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52950300856 + ... + 52950302744.

It is an arithmetic number, because the mean of its divisors is an integer number (306101209050).

Almost surely, 2^{100023120100200} is an apocalyptic number.

100023120100200 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 100023120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314296412800).

100023120100200 is an abundant number, since it is smaller than the sum of its proper divisors (252605472725400).

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

100023120100200 is a wasteful number, since it uses less digits than its factorization.

100023120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100023120100200 its reverse (2001021320001), we get a palindrome (102024141420201).

The spelling of 100023120100200 in words is "one hundred trillion, twenty-three billion, one hundred twenty million, one hundred thousand, two hundred".