11011121 has 24 divisors (see below), whose sum is σ = 13186152. Its totient is φ = 9152000.

The previous prime is 11011109. The next prime is 11011123. The reversal of 11011121 is 12111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7263025 + 3748096 = 2695^2 + 1936^2 .

It is not a de Polignac number, because 11011121 - 2⁶ = 11011057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011099 and 11011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108971 + ... + 109071.

It is an arithmetic number, because the mean of its divisors is an integer number (549423).

Almost surely, 2^11011121 is an apocalyptic number.

11011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011121 is a deficient number, since it is larger than the sum of its proper divisors (2175031).

11011121 is a wasteful number, since it uses less digits than its factorization.

11011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

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

The square root of 11011121 is about 3318.3009206520. The cubic root of 11011121 is about 222.4729319426.

Adding to 11011121 its reverse (12111011), we get a palindrome (23122132).

It can be divided in two parts, 11011 and 121, that multiplied together give a palindrome (1332331).

The spelling of 11011121 in words is "eleven million, eleven thousand, one hundred twenty-one".