1100011121 has 12 divisors (see below), whose sum is σ = 1210513332. Its totient is φ = 998844000.

The previous prime is 1100011117. The next prime is 1100011127. The reversal of 1100011121 is 1211100011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 217267600 + 882743521 = 14740^2 + 29711^2 .

It is not a de Polignac number, because 1100011121 - 2² = 1100011117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100011099 and 1100011108.

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 11 ways as a sum of consecutive naturals, for example, 109031 + ... + 118691.

It is an arithmetic number, because the mean of its divisors is an integer number (100876111).

Almost surely, 2^1100011121 is an apocalyptic number.

1100011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100011121 is a deficient number, since it is larger than the sum of its proper divisors (110502211).

1100011121 is an equidigital number, since it uses as much as digits as its factorization.

1100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10613 counting only the distinct ones).

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

The square root of 1100011121 is about 33166.4155585134. The cubic root of 1100011121 is about 1032.2835942286.

Adding to 1100011121 its reverse (1211100011), we get a palindrome (2311111132).

It can be divided in two parts, 1100011 and 121, that multiplied together give a palindrome (133101331).

The spelling of 1100011121 in words is "one billion, one hundred million, eleven thousand, one hundred twenty-one".