100112113020 has 96 divisors (see below), whose sum is σ = 295342387200. Its totient is φ = 25267901184.

The previous prime is 100112113019. The next prime is 100112113027. The reversal of 100112113020 is 20311211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112112987 and 100112113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112113027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198786 + ... + 1279574.

It is an arithmetic number, because the mean of its divisors is an integer number (3076483200).

Almost surely, 2^100112113020 is an apocalyptic number.

100112113020 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 100112113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147671193600).

100112113020 is an abundant number, since it is smaller than the sum of its proper divisors (195230274180).

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

100112113020 is a wasteful number, since it uses less digits than its factorization.

100112113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81907 (or 81905 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100112113020 its reverse (20311211001), we get a palindrome (120423324021).

The spelling of 100112113020 in words is "one hundred billion, one hundred twelve million, one hundred thirteen thousand, twenty".