11121221101011 has 36 divisors (see below), whose sum is σ = 18204877592712. Its totient is φ = 6020510642496.

The previous prime is 11121221100971. The next prime is 11121221101057. The reversal of 11121221101011 is 11010112212111.

It is not a de Polignac number, because 11121221101011 - 2⁹ = 11121221100499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121221101091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104731650 + ... + 104837783.

It is an arithmetic number, because the mean of its divisors is an integer number (505691044242).

Almost surely, 2^{11121221101011} is an apocalyptic number.

11121221101011 is a deficient number, since it is larger than the sum of its proper divisors (7083656491701).

11121221101011 is a wasteful number, since it uses less digits than its factorization.

11121221101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209569488 (or 209569462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11121221101011 its reverse (11010112212111), we get a palindrome (22131333313122).

Subtracting from 11121221101011 its reverse (11010112212111), we obtain a square (111108888900 = 333330²).

The spelling of 11121221101011 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, eleven".