11001122111 has 16 divisors (see below), whose sum is σ = 13177188864. Its totient is φ = 8979789984.

The previous prime is 11001122089. The next prime is 11001122147. The reversal of 11001122111 is 11122110011.

It is a cyclic number.

It is not a de Polignac number, because 11001122111 - 2¹⁸ = 11000859967 is a prime.

It is a super-2 number, since 2×11001122111² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11001122092 and 11001122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113960 + ... + 187053.

It is an arithmetic number, because the mean of its divisors is an integer number (823574304).

Almost surely, 2^11001122111 is an apocalyptic number.

11001122111 is a deficient number, since it is larger than the sum of its proper divisors (2176066753).

11001122111 is a wasteful number, since it uses less digits than its factorization.

11001122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301270.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11001122111 its reverse (11122110011), we get a palindrome (22123232122).

It can be divided in two parts, 1100 and 1122111, that added together give a palindrome (1123211).

The spelling of 11001122111 in words is "eleven billion, one million, one hundred twenty-two thousand, one hundred eleven".