100133222112 has 1536 divisors, whose sum is σ = 413857382400. Its totient is φ = 22759833600.

The previous prime is 100133221973. The next prime is 100133222131. The reversal of 100133222112 is 211222331001.

100133222112 is a `hidden beast` number, since 100 + 1 + 332 + 221 + 12 = 666.

It is a super-2 number, since 2×100133222112² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1410327037 + ... + 1410327107.

It is an arithmetic number, because the mean of its divisors is an integer number (269438400).

Almost surely, 2^100133222112 is an apocalyptic number.

100133222112 is a gapful number since it is divisible by the number (12) 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 100133222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206928691200).

100133222112 is an abundant number, since it is smaller than the sum of its proper divisors (313724160288).

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

100133222112 is a wasteful number, since it uses less digits than its factorization.

100133222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

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

Adding to 100133222112 its reverse (211222331001), we get a palindrome (311355553113).

The spelling of 100133222112 in words is "one hundred billion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred twelve".