100112303312120 has 128 divisors (see below), whose sum is σ = 260212343961600. Its totient is φ = 34259422464000.

The previous prime is 100112303312113. The next prime is 100112303312141. The reversal of 100112303312120 is 21213303211001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100112303312092 and 100112303312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70740821 + ... + 72142139.

It is an arithmetic number, because the mean of its divisors is an integer number (2032908937200).

Almost surely, 2^{100112303312120} is an apocalyptic number.

100112303312120 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 100112303312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130106171980800).

100112303312120 is an abundant number, since it is smaller than the sum of its proper divisors (160100040649480).

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

100112303312120 is a wasteful number, since it uses less digits than its factorization.

100112303312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410909 (or 1410905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100112303312120 its reverse (21213303211001), we get a palindrome (121325606523121).

The spelling of 100112303312120 in words is "one hundred trillion, one hundred twelve billion, three hundred three million, three hundred twelve thousand, one hundred twenty".