100110022000112 has 60 divisors (see below), whose sum is σ = 206058341611056. Its totient is φ = 47107300853760.

The previous prime is 100110022000111. The next prime is 100110022000141. The reversal of 100110022000112 is 211000220011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110022000093 and 100110022000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110022000111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65941412 + ... + 67442492.

Almost surely, 2^{100110022000112} is an apocalyptic number.

It is an amenable number.

100110022000112 is an abundant number, since it is smaller than the sum of its proper divisors (105948319610944).

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

100110022000112 is a wasteful number, since it uses less digits than its factorization.

100110022000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515546 (or 1515523 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110022000112 its reverse (211000220011001), we get a palindrome (311110242011113).

The spelling of 100110022000112 in words is "one hundred trillion, one hundred ten billion, twenty-two million, one hundred twelve", and thus it is an aban number.