11002211121 has 32 divisors (see below), whose sum is σ = 16171342848. Its totient is φ = 6598101440.

The previous prime is 11002211119. The next prime is 11002211141. The reversal of 11002211121 is 12111220011.

11002211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11002211121 - 2¹ = 11002211119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11002211097 and 11002211106.

It is not an unprimeable number, because it can be changed into a prime (11002211141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5270740 + ... + 5272826.

It is an arithmetic number, because the mean of its divisors is an integer number (505354464).

Almost surely, 2^11002211121 is an apocalyptic number.

11002211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11002211121 is a deficient number, since it is larger than the sum of its proper divisors (5169131727).

11002211121 is a wasteful number, since it uses less digits than its factorization.

11002211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11002211121 its reverse (12111220011), we get a palindrome (23113431132).

The spelling of 11002211121 in words is "eleven billion, two million, two hundred eleven thousand, one hundred twenty-one".