100032330112 has 192 divisors, whose sum is σ = 246164294880. Its totient is φ = 40144896000.

The previous prime is 100032330109. The next prime is 100032330127. The reversal of 100032330112 is 211033230001.

It is a super-2 number, since 2×100032330112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 4620112 + ... + 4641712.

Almost surely, 2^100032330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100032330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123082147440).

100032330112 is an abundant number, since it is smaller than the sum of its proper divisors (146131964768).

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

100032330112 is a wasteful number, since it uses less digits than its factorization.

100032330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21673 (or 21650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100032330112 its reverse (211033230001), we get a palindrome (311065560113).

The spelling of 100032330112 in words is "one hundred billion, thirty-two million, three hundred thirty thousand, one hundred twelve".