100113312113120 has 192 divisors, whose sum is σ = 246513947847552. Its totient is φ = 38388252672000.

The previous prime is 100113312113107. The next prime is 100113312113141. The reversal of 100113312113120 is 21311213311001.

It is a super-2 number, since 2×100113312113120² (a number of 29 digits) contains 22 as substring.

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 = 100113312113092 and 100113312113101.

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, 386825360 + ... + 387084080.

It is an arithmetic number, because the mean of its divisors is an integer number (1283926811706).

Almost surely, 2^{100113312113120} is an apocalyptic number.

100113312113120 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 100113312113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123256973923776).

100113312113120 is an abundant number, since it is smaller than the sum of its proper divisors (146400635734432).

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

100113312113120 is a wasteful number, since it uses less digits than its factorization.

100113312113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259805 (or 259797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100113312113120 its reverse (21311213311001), we get a palindrome (121424525424121).

The spelling of 100113312113120 in words is "one hundred trillion, one hundred thirteen billion, three hundred twelve million, one hundred thirteen thousand, one hundred twenty".