1100011122 has 96 divisors (see below), whose sum is σ = 2883703680. Its totient is φ = 296352000.

The previous prime is 1100011117. The next prime is 1100011127. The reversal of 1100011122 is 2211100011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100011117) and next prime (1100011127).

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1100011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153622 + ... + 160622.

It is an arithmetic number, because the mean of its divisors is an integer number (30038580).

Almost surely, 2^1100011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441851840).

1100011122 is an abundant number, since it is smaller than the sum of its proper divisors (1783692558).

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

1100011122 is a wasteful number, since it uses less digits than its factorization.

1100011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100011122 is about 33166.4155735889. The cubic root of 1100011122 is about 1032.2835945414.

Adding to 1100011122 its reverse (2211100011), we get a palindrome (3311111133).

Subtracting 1100011122 from its reverse (2211100011), we obtain a square (1111088889 = 33333²).

It can be divided in two parts, 11000 and 11122, that added together give a palindrome (22122).

The spelling of 1100011122 in words is "one billion, one hundred million, eleven thousand, one hundred twenty-two".