1100112011 has 16 divisors (see below), whose sum is σ = 1158313728. Its totient is φ = 1042826400.

The previous prime is 1100111993. The next prime is 1100112029. The reversal of 1100112011 is 1102110011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100111993) and next prime (1100112029).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100112011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100112011.

It is not an unprimeable number, because it can be changed into a prime (1100112511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926356 + ... + 1926926.

It is an arithmetic number, because the mean of its divisors is an integer number (72394608).

Almost surely, 2^1100112011 is an apocalyptic number.

1100112011 is a deficient number, since it is larger than the sum of its proper divisors (58201717).

1100112011 is a wasteful number, since it uses less digits than its factorization.

1100112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1100112011 is about 33167.9364899295. The cubic root of 1100112011 is about 1032.3151526696.

Adding to 1100112011 its reverse (1102110011), we get a palindrome (2202222022).

The spelling of 1100112011 in words is "one billion, one hundred million, one hundred twelve thousand, eleven".