221232120113011 has 16 divisors (see below), whose sum is σ = 256058080496640. Its totient is φ = 187211894688000.

The previous prime is 221232120113003. The next prime is 221232120113021. The reversal of 221232120113011 is 110311021232122.

It is a happy number.

It is not a de Polignac number, because 221232120113011 - 2³ = 221232120113003 is a prime.

It is a super-2 number, since 2×221232120113011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221232120113021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9552766 + ... + 23102371.

It is an arithmetic number, because the mean of its divisors is an integer number (16003630031040).

Almost surely, 2^{221232120113011} is an apocalyptic number.

221232120113011 is a deficient number, since it is larger than the sum of its proper divisors (34825960383629).

221232120113011 is a wasteful number, since it uses less digits than its factorization.

221232120113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32667474.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 221232120113011 its reverse (110311021232122), we get a palindrome (331543141345133).

The spelling of 221232120113011 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, one hundred twenty million, one hundred thirteen thousand, eleven".