100112220220012 has 384 divisors, whose sum is σ = 244991116339200. Its totient is φ = 34527790080000.

The previous prime is 100112220220009. The next prime is 100112220220043. The reversal of 100112220220012 is 210022022211001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10871123664 + ... + 10871132872.

It is an arithmetic number, because the mean of its divisors is an integer number (637997698800).

Almost surely, 2^{100112220220012} 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 100112220220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122495558169600).

100112220220012 is an abundant number, since it is smaller than the sum of its proper divisors (144878896119188).

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

100112220220012 is a wasteful number, since it uses less digits than its factorization.

100112220220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100112220220012 its reverse (210022022211001), we get a palindrome (310134242431013).

The spelling of 100112220220012 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty thousand, twelve".