221100221121 has 32 divisors (see below), whose sum is σ = 321375989760. Its totient is φ = 134400155904.

The previous prime is 221100221077. The next prime is 221100221159. The reversal of 221100221121 is 121122001122.

221100221121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221100221121 - 2¹¹ = 221100219073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221100221121.

It is not an unprimeable number, because it can be changed into a prime (221100221191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036771 + ... + 1231703.

It is an arithmetic number, because the mean of its divisors is an integer number (10042999680).

Almost surely, 2^221100221121 is an apocalyptic number.

It is an amenable number.

221100221121 is a deficient number, since it is larger than the sum of its proper divisors (100275768639).

221100221121 is a wasteful number, since it uses less digits than its factorization.

221100221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195305.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221100221121 its reverse (121122001122), we get a palindrome (342222222243).

The spelling of 221100221121 in words is "two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".