1001000112 has 80 divisors (see below), whose sum is σ = 3083850240. Its totient is φ = 273563136.

The previous prime is 1001000111. The next prime is 1001000113. The reversal of 1001000112 is 2110001001.

It is an interprime number because it is at equal distance from previous prime (1001000111) and next prime (1001000113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1001000112.

It is not an unprimeable number, because it can be changed into a prime (1001000111) 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, 57037 + ... + 72492.

It is an arithmetic number, because the mean of its divisors is an integer number (38548128).

Almost surely, 2^1001000112 is an apocalyptic number.

1001000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001000112 is an abundant number, since it is smaller than the sum of its proper divisors (2082850128).

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

1001000112 is a wasteful number, since it uses less digits than its factorization.

1001000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129570 (or 129564 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1001000112 is about 31638.5858091034. The cubic root of 1001000112 is about 1000.3332595924. Note that the first 3 decimals are identical.

Adding to 1001000112 its reverse (2110001001), we get a palindrome (3111001113).

The spelling of 1001000112 in words is "one billion, one million, one hundred twelve", and thus it is an aban number.