100101113312 has 96 divisors (see below), whose sum is σ = 214795929600. Its totient is φ = 45739427328.

The previous prime is 100101113309. The next prime is 100101113317. The reversal of 100101113312 is 213311101001.

It is a happy number.

100101113312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101113317) 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, 27627533 + ... + 27631155.

It is an arithmetic number, because the mean of its divisors is an integer number (2237457600).

Almost surely, 2^100101113312 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 100101113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107397964800).

100101113312 is an abundant number, since it is smaller than the sum of its proper divisors (114694816288).

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

100101113312 is a wasteful number, since it uses less digits than its factorization.

100101113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100101113312 its reverse (213311101001), we get a palindrome (313412214313).

The spelling of 100101113312 in words is "one hundred billion, one hundred one million, one hundred thirteen thousand, three hundred twelve".