10000110000112 has 160 divisors (see below), whose sum is σ = 20442172760064. Its totient is φ = 4732961587200.

The previous prime is 10000110000071. The next prime is 10000110000149. The reversal of 10000110000112 is 21100001100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000110000095 and 10000110000104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4196436073 + ... + 4196438455.

Almost surely, 2^{10000110000112} 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 10000110000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221086380032).

10000110000112 is an abundant number, since it is smaller than the sum of its proper divisors (10442062759952).

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

10000110000112 is a wasteful number, since it uses less digits than its factorization.

10000110000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000110000112 its reverse (21100001100001), we get a palindrome (31100111100113).

The spelling of 10000110000112 in words is "ten trillion, one hundred ten million, one hundred twelve", and thus it is an aban number.