100133023102200 has 576 divisors, whose sum is σ = 367609414348800. Its totient is φ = 24224547916800.

The previous prime is 100133023102193. The next prime is 100133023102201. The reversal of 100133023102200 is 2201320331001.

100133023102200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 2 + 310 + 2 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133023102201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24076223721 + ... + 24076227879.

It is an arithmetic number, because the mean of its divisors is an integer number (638210788800).

Almost surely, 2^{100133023102200} is an apocalyptic number.

100133023102200 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 100133023102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183804707174400).

100133023102200 is an abundant number, since it is smaller than the sum of its proper divisors (267476391246600).

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

100133023102200 is a wasteful number, since it uses less digits than its factorization.

100133023102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100133023102200 its reverse (2201320331001), we get a palindrome (102334343433201).

The spelling of 100133023102200 in words is "one hundred trillion, one hundred thirty-three billion, twenty-three million, one hundred two thousand, two hundred".