1001100112 has 40 divisors (see below), whose sum is σ = 2005030400. Its totient is φ = 483719040.

The previous prime is 1001100091. The next prime is 1001100127. The reversal of 1001100112 is 2110011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001100095 and 1001100104.

It is a congruent number.

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, 645514 + ... + 647062.

It is an arithmetic number, because the mean of its divisors is an integer number (50125760).

Almost surely, 2^1001100112 is an apocalyptic number.

It is an amenable number.

1001100112 is an abundant number, since it is smaller than the sum of its proper divisors (1003930288).

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

1001100112 is a wasteful number, since it uses less digits than its factorization.

1001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2885 counting only the distinct ones).

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

The square root of 1001100112 is about 31640.1661184008. The cubic root of 1001100112 is about 1000.3665696103.

Adding to 1001100112 its reverse (2110011001), we get a palindrome (3111111113).

The spelling of 1001100112 in words is "one billion, one million, one hundred thousand, one hundred twelve".