100233442212400 has 120 divisors (see below), whose sum is σ = 275293627803360. Its totient is φ = 34355607982080.

The previous prime is 100233442212377. The next prime is 100233442212413. The reversal of 100233442212400 is 4212244332001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207752 + ... + 14770648.

It is an arithmetic number, because the mean of its divisors is an integer number (2294113565028).

Almost surely, 2^{100233442212400} is an apocalyptic number.

100233442212400 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 100233442212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137646813901680).

100233442212400 is an abundant number, since it is smaller than the sum of its proper divisors (175060185590960).

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

100233442212400 is a wasteful number, since it uses less digits than its factorization.

100233442212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566311 (or 10566300 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 100233442212400 its reverse (4212244332001), we get a palindrome (104445686544401).

The spelling of 100233442212400 in words is "one hundred trillion, two hundred thirty-three billion, four hundred forty-two million, two hundred twelve thousand, four hundred".