100002112011122 has 16 divisors (see below), whose sum is σ = 150273223531200. Its totient is φ = 49911080363760.

The previous prime is 100002112011119. The next prime is 100002112011173. The reversal of 100002112011122 is 221110211200001.

100002112011122 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 = 100002112011097 and 100002112011106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6046622 + ... + 15380697.

It is an arithmetic number, because the mean of its divisors is an integer number (9392076470700).

Almost surely, 2^{100002112011122} is an apocalyptic number.

100002112011122 is a deficient number, since it is larger than the sum of its proper divisors (50271111520078).

100002112011122 is a wasteful number, since it uses less digits than its factorization.

100002112011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431521.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100002112011122 its reverse (221110211200001), we get a palindrome (321112323211123).

The spelling of 100002112011122 in words is "one hundred trillion, two billion, one hundred twelve million, eleven thousand, one hundred twenty-two".