100321113202112 has 112 divisors (see below), whose sum is σ = 219223867782528. Its totient is φ = 45169838545920.

The previous prime is 100321113202111. The next prime is 100321113202133. The reversal of 100321113202112 is 211202311123001.

It is a super-2 number, since 2×100321113202112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321113202111) 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, 825308123 + ... + 825429669.

It is an arithmetic number, because the mean of its divisors is an integer number (1957355962344).

Almost surely, 2^{100321113202112} 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 100321113202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109611933891264).

100321113202112 is an abundant number, since it is smaller than the sum of its proper divisors (118902754580416).

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

100321113202112 is a wasteful number, since it uses less digits than its factorization.

100321113202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132634 (or 132624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100321113202112 its reverse (211202311123001), we get a palindrome (311523424325113).

The spelling of 100321113202112 in words is "one hundred trillion, three hundred twenty-one billion, one hundred thirteen million, two hundred two thousand, one hundred twelve".