100001323120 has 80 divisors (see below), whose sum is σ = 237566759040. Its totient is φ = 39135801600.

The previous prime is 100001323117. The next prime is 100001323129. The reversal of 100001323120 is 21323100001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 100001323120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001323129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945715 + ... + 1046125.

It is an arithmetic number, because the mean of its divisors is an integer number (2969584488).

Almost surely, 2^100001323120 is an apocalyptic number.

100001323120 is a gapful number since it is divisible by the number (10) 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 100001323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118783379520).

100001323120 is an abundant number, since it is smaller than the sum of its proper divisors (137565435920).

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

100001323120 is a wasteful number, since it uses less digits than its factorization.

100001323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100694 (or 100688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100001323120 its reverse (21323100001), we get a palindrome (121324423121).

The spelling of 100001323120 in words is "one hundred billion, one million, three hundred twenty-three thousand, one hundred twenty".