100101222112 has 24 divisors (see below), whose sum is σ = 200792667096. Its totient is φ = 49106259072.

The previous prime is 100101222079. The next prime is 100101222209. The reversal of 100101222112 is 211222101001.

100101222112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100101222092 and 100101222101.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 29509278 + ... + 29512669.

It is an arithmetic number, because the mean of its divisors is an integer number (8366361129).

Almost surely, 2^100101222112 is an apocalyptic number.

It is an amenable number.

100101222112 is an abundant number, since it is smaller than the sum of its proper divisors (100691444984).

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

100101222112 is an equidigital number, since it uses as much as digits as its factorization.

100101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59022010 (or 59022002 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100101222112 its reverse (211222101001), we get a palindrome (311323323113).

The spelling of 100101222112 in words is "one hundred billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".