100101200112 has 80 divisors (see below), whose sum is σ = 287641312000. Its totient is φ = 33330626496.

The previous prime is 100101200057. The next prime is 100101200119. The reversal of 100101200112 is 211002101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101200094 and 100101200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101200119) 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, 270939 + ... + 523077.

It is an arithmetic number, because the mean of its divisors is an integer number (3595516400).

Almost surely, 2^100101200112 is an apocalyptic number.

100101200112 is a gapful number since it is divisible by the number (12) 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 100101200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143820656000).

100101200112 is an abundant number, since it is smaller than the sum of its proper divisors (187540111888).

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

100101200112 is a wasteful number, since it uses less digits than its factorization.

100101200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253075 (or 253063 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101200112 its reverse (211002101001), we get a palindrome (311103301113).

The spelling of 100101200112 in words is "one hundred billion, one hundred one million, two hundred thousand, one hundred twelve".