10001110112 has 144 divisors (see below), whose sum is σ = 23292949680. Its totient is φ = 4214246400.

The previous prime is 10001110099. The next prime is 10001110159. The reversal of 10001110112 is 21101110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10001110112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37178714 + ... + 37178982.

It is an arithmetic number, because the mean of its divisors is an integer number (161756595).

Almost surely, 2^10001110112 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 10001110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646474840).

10001110112 is an abundant number, since it is smaller than the sum of its proper divisors (13291839568).

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

10001110112 is a wasteful number, since it uses less digits than its factorization.

10001110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001110112 its reverse (21101110001), we get a palindrome (31102220113).

The spelling of 10001110112 in words is "ten billion, one million, one hundred ten thousand, one hundred twelve".