100112233021200 has 1080 divisors, whose sum is σ = 383302064073240. Its totient is φ = 24171606835200.

The previous prime is 100112233021051. The next prime is 100112233021247. The reversal of 100112233021200 is 2120332211001.

100112233021200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 122 + 330 + 212 + 0 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 91712646595584 + 8399586425616 = 9576672^2 + 2898204^2 .

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 215 ways as a sum of consecutive naturals, for example, 3426022590 + ... + 3426051810.

Almost surely, 2^{100112233021200} is an apocalyptic number.

100112233021200 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 100112233021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191651032036620).

100112233021200 is an abundant number, since it is smaller than the sum of its proper divisors (283189831052040).

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

100112233021200 is a wasteful number, since it uses less digits than its factorization.

100112233021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29405 (or 29374 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100112233021200 its reverse (2120332211001), we get a palindrome (102232565232201).

The spelling of 100112233021200 in words is "one hundred trillion, one hundred twelve billion, two hundred thirty-three million, twenty-one thousand, two hundred".