100111132123200 has 1008 divisors, whose sum is σ = 415990173246336. Its totient is φ = 22586735001600.

The previous prime is 100111132123199. The next prime is 100111132123229. The reversal of 100111132123200 is 2321231111001.

100111132123200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 111 + 321 + 232 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134427064 + ... + 135169736.

Almost surely, 2^{100111132123200} is an apocalyptic number.

100111132123200 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 100111132123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207995086623168).

100111132123200 is an abundant number, since it is smaller than the sum of its proper divisors (315879041123136).

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

100111132123200 is a wasteful number, since it uses less digits than its factorization.

100111132123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742772 (or 742754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100111132123200 its reverse (2321231111001), we get a palindrome (102432363234201).

The spelling of 100111132123200 in words is "one hundred trillion, one hundred eleven billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred".