1001100000112 has 80 divisors (see below), whose sum is σ = 1969662683520. Its totient is φ = 492852197376.

The previous prime is 1001100000077. The next prime is 1001100000113. The reversal of 1001100000112 is 2110000011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001100000095 and 1001100000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404157018 + ... + 404159494.

It is an arithmetic number, because the mean of its divisors is an integer number (24620783544).

Almost surely, 2^{1001100000112} is an apocalyptic number.

It is an amenable number.

1001100000112 is a deficient number, since it is larger than the sum of its proper divisors (968562683408).

1001100000112 is a wasteful number, since it uses less digits than its factorization.

1001100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3644 counting only the distinct ones).

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

Adding to 1001100000112 its reverse (2110000011001), we get a palindrome (3111100011113).

The spelling of 1001100000112 in words is "one trillion, one billion, one hundred million, one hundred twelve", and thus it is an aban number.