100332000320112 has 320 divisors, whose sum is σ = 319045972608000. Its totient is φ = 29933066419200.

The previous prime is 100332000320093. The next prime is 100332000320131. The reversal of 100332000320112 is 211023000233001.

100332000320112 is a `hidden beast` number, since 1 + 0 + 0 + 33 + 200 + 0 + 320 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (100332000320093) and next prime (100332000320131).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239001214 + ... + 239420642.

It is an arithmetic number, because the mean of its divisors is an integer number (997018664400).

Almost surely, 2^{100332000320112} is an apocalyptic number.

100332000320112 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 100332000320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522986304000).

100332000320112 is an abundant number, since it is smaller than the sum of its proper divisors (218713972287888).

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

100332000320112 is a wasteful number, since it uses less digits than its factorization.

100332000320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420237 (or 420225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100332000320112 its reverse (211023000233001), we get a palindrome (311355000553113).

The spelling of 100332000320112 in words is "one hundred trillion, three hundred thirty-two billion, three hundred twenty thousand, one hundred twelve".