1000100110112 has 48 divisors (see below), whose sum is σ = 1987873715520. Its totient is φ = 495247281408.

The previous prime is 1000100110033. The next prime is 1000100110123. The reversal of 1000100110112 is 2110110010001.

It is a happy number.

1000100110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1000100110112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8125253 + ... + 8247419.

It is an arithmetic number, because the mean of its divisors is an integer number (41414035740).

Almost surely, 2^{1000100110112} is an apocalyptic number.

It is an amenable number.

1000100110112 is a deficient number, since it is larger than the sum of its proper divisors (987773605408).

1000100110112 is a wasteful number, since it uses less digits than its factorization.

1000100110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124633 (or 124625 counting only the distinct ones).

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

Adding to 1000100110112 its reverse (2110110010001), we get a palindrome (3110210120113).

The spelling of 1000100110112 in words is "one trillion, one hundred million, one hundred ten thousand, one hundred twelve".