100020332112 has 80 divisors (see below), whose sum is σ = 262296819072. Its totient is φ = 32836446720.

The previous prime is 100020332089. The next prime is 100020332117. The reversal of 100020332112 is 211233020001.

It is a junction number, because it is equal to n+sod(n) for n = 100020332091 and 100020332100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020332117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3383058 + ... + 3412494.

Almost surely, 2^100020332112 is an apocalyptic number.

100020332112 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 100020332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131148409536).

100020332112 is an abundant number, since it is smaller than the sum of its proper divisors (162276486960).

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

100020332112 is a wasteful number, since it uses less digits than its factorization.

100020332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30516 (or 30510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100020332112 its reverse (211233020001), we get a palindrome (311253352113).

The spelling of 100020332112 in words is "one hundred billion, twenty million, three hundred thirty-two thousand, one hundred twelve".