221122112010111 has 192 divisors, whose sum is σ = 368635259865600. Its totient is φ = 126602401185792.

The previous prime is 221122112010017. The next prime is 221122112010131. The reversal of 221122112010111 is 111010211221122.

It is a happy number.

221122112010111 is a `hidden beast` number, since 2 + 211 + 221 + 120 + 1 + 0 + 111 = 666.

It is not a de Polignac number, because 221122112010111 - 2¹⁰ = 221122112009087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122112010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12724979055 + ... + 12724996431.

It is an arithmetic number, because the mean of its divisors is an integer number (1919975311800).

Almost surely, 2^{221122112010111} is an apocalyptic number.

221122112010111 is a deficient number, since it is larger than the sum of its proper divisors (147513147855489).

221122112010111 is a wasteful number, since it uses less digits than its factorization.

221122112010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17990 (or 17987 counting only the distinct ones).

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

Adding to 221122112010111 its reverse (111010211221122), we get a palindrome (332132323231233).

The spelling of 221122112010111 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, ten thousand, one hundred eleven".