11022222222011 has 128 divisors (see below), whose sum is σ = 15337771739136. Its totient is φ = 7646069882880.

The previous prime is 11022222221993. The next prime is 11022222222043.

11022222222011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11022222222011 - 2¹⁰ = 11022222220987 is a prime.

It is a super-2 number, since 2×11022222222011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11022222282011) 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 127 ways as a sum of consecutive naturals, for example, 670728851 + ... + 670745283.

It is an arithmetic number, because the mean of its divisors is an integer number (119826341712).

Almost surely, 2^{11022222222011} is an apocalyptic number.

11022222222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11022222222011 is a deficient number, since it is larger than the sum of its proper divisors (4315549517125).

11022222222011 is a wasteful number, since it uses less digits than its factorization.

11022222222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16741.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1102222 and 2222011, that added together give a palindrome (3324233).

The spelling of 11022222222011 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, eleven".