11002122110221 has 16 divisors (see below), whose sum is σ = 12546400366080. Its totient is φ = 9550069574320.

The previous prime is 11002122110219. The next prime is 11002122110281. The reversal of 11002122110221 is 12201122120011.

It is not a de Polignac number, because 11002122110221 - 2¹ = 11002122110219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11002122110195 and 11002122110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002122110281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38478031 + ... + 38762908.

It is an arithmetic number, because the mean of its divisors is an integer number (784150022880).

Almost surely, 2^{11002122110221} is an apocalyptic number.

11002122110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11002122110221 is a deficient number, since it is larger than the sum of its proper divisors (1544278255859).

11002122110221 is a wasteful number, since it uses less digits than its factorization.

11002122110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77241536.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11002122110221 its reverse (12201122120011), we get a palindrome (23203244230232).

The spelling of 11002122110221 in words is "eleven trillion, two billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty-one".