11121122101221 has 48 divisors (see below), whose sum is σ = 18556226807040. Its totient is φ = 6343188956160.

The previous prime is 11121122101151. The next prime is 11121122101231. The reversal of 11121122101221 is 12210122112111.

It is a happy number.

11121122101221 is a `hidden beast` number, since 1 + 11 + 211 + 221 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 11121122101221 - 2³⁴ = 11103942232037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11121122101194 and 11121122101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121122101231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26845300 + ... + 27256418.

It is an arithmetic number, because the mean of its divisors is an integer number (386588058480).

Almost surely, 2^{11121122101221} is an apocalyptic number.

11121122101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121122101221 is a deficient number, since it is larger than the sum of its proper divisors (7435104705819).

11121122101221 is a wasteful number, since it uses less digits than its factorization.

11121122101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427226 (or 427223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11121122101221 its reverse (12210122112111), we get a palindrome (23331244213332).

The spelling of 11121122101221 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".