1001111112 has 48 divisors (see below), whose sum is σ = 2718684540. Its totient is φ = 332800128.

The previous prime is 1001111107. The next prime is 1001111141. The reversal of 1001111112 is 2111111001.

It can be written as a sum of positive squares in 2 ways, for example, as 881733636 + 119377476 = 29694^2 + 10926^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001111094 and 1001111103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8218 + ... + 45494.

Almost surely, 2^1001111112 is an apocalyptic number.

1001111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001111112 is an abundant number, since it is smaller than the sum of its proper divisors (1717573428).

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

1001111112 is a wasteful number, since it uses less digits than its factorization.

1001111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37662 (or 37655 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1001111112 is about 31640.3399476049. The cubic root of 1001111112 is about 1000.3702335768.

Adding to 1001111112 its reverse (2111111001), we get a palindrome (3112222113).

The spelling of 1001111112 in words is "one billion, one million, one hundred eleven thousand, one hundred twelve".