1002000001112 has 64 divisors (see below), whose sum is σ = 2200672074240. Its totient is φ = 422625548800.

The previous prime is 1002000001091. The next prime is 1002000001139. The reversal of 1002000001112 is 2111000002001.

1002000001112 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 1002000001112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4610588 + ... + 4823019.

It is an arithmetic number, because the mean of its divisors is an integer number (34385501160).

Almost surely, 2^{1002000001112} is an apocalyptic number.

It is an amenable number.

1002000001112 is an abundant number, since it is smaller than the sum of its proper divisors (1198672073128).

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

1002000001112 is a wasteful number, since it uses less digits than its factorization.

1002000001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9433712 (or 9433708 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002000001112 its reverse (2111000002001), we get a palindrome (3113000003113).

The spelling of 1002000001112 in words is "one trillion, two billion, one thousand, one hundred twelve".