11022011 has 36 divisors (see below), whose sum is σ = 15270984. Its totient is φ = 7927920.

The previous prime is 11021993. The next prime is 11022023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11022011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11022011 - 2¹⁰ = 11020987 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 11022011.

It is not an unprimeable number, because it can be changed into a prime (11022611) 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 35 ways as a sum of consecutive naturals, for example, 847841 + ... + 847853.

It is an arithmetic number, because the mean of its divisors is an integer number (424194).

Almost surely, 2^11022011 is an apocalyptic number.

11022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11022011 is a deficient number, since it is larger than the sum of its proper divisors (4248973).

11022011 is an equidigital number, since it uses as much as digits as its factorization.

11022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 11022011 is about 3319.9414151458. The cubic root of 11022011 is about 222.5462496964.

It can be divided in two parts, 1102 and 2011, that multiplied together give a palindrome (2216122).

The spelling of 11022011 in words is "eleven million, twenty-two thousand, eleven".