100112133132 has 144 divisors (see below), whose sum is σ = 280203356160. Its totient is φ = 29883513600.

The previous prime is 100112133131. The next prime is 100112133137. The reversal of 100112133132 is 231331211001.

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

It is not an unprimeable number, because it can be changed into a prime (100112133131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29802469 + ... + 29805827.

It is an arithmetic number, because the mean of its divisors is an integer number (1945856640).

Almost surely, 2^100112133132 is an apocalyptic number.

100112133132 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 100112133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140101678080).

100112133132 is an abundant number, since it is smaller than the sum of its proper divisors (180091223028).

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

100112133132 is a wasteful number, since it uses less digits than its factorization.

100112133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100112133132 its reverse (231331211001), we get a palindrome (331443344133).

The spelling of 100112133132 in words is "one hundred billion, one hundred twelve million, one hundred thirty-three thousand, one hundred thirty-two".