112001111001 has 12 divisors (see below), whose sum is σ = 174223950628. Its totient is φ = 68923760544.

The previous prime is 112001110997. The next prime is 112001111021. The reversal of 112001111001 is 100111100211.

It can be written as a sum of positive squares in 2 ways, for example, as 61903928025 + 50097182976 = 248805^2 + 223824^2 .

It is not a de Polignac number, because 112001111001 - 2² = 112001110997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (112001111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478637110 + ... + 478637343.

Almost surely, 2^112001111001 is an apocalyptic number.

It is an amenable number.

112001111001 is a deficient number, since it is larger than the sum of its proper divisors (62222839627).

112001111001 is a wasteful number, since it uses less digits than its factorization.

112001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957274472 (or 957274469 counting only the distinct ones).

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

Adding to 112001111001 its reverse (100111100211), we get a palindrome (212112211212).

The spelling of 112001111001 in words is "one hundred twelve billion, one million, one hundred eleven thousand, one".