221000122121 has 8 divisors (see below), whose sum is σ = 228631862088. Its totient is φ = 213475120000.

The previous prime is 221000122117. The next prime is 221000122127. The reversal of 221000122121 is 121221000122.

221000122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35066682121 + 185933440000 = 187261^2 + 431200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221000122121 - 2² = 221000122117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221000122096 and 221000122105.

It is not an unprimeable number, because it can be changed into a prime (221000122127) 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 7 ways as a sum of consecutive naturals, for example, 26680250 + ... + 26688531.

It is an arithmetic number, because the mean of its divisors is an integer number (28578982761).

Almost surely, 2^221000122121 is an apocalyptic number.

It is an amenable number.

221000122121 is a deficient number, since it is larger than the sum of its proper divisors (7631739967).

221000122121 is a wasteful number, since it uses less digits than its factorization.

221000122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53368923.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221000122121 its reverse (121221000122), we get a palindrome (342221122243).

It can be divided in two parts, 221000122 and 121, that multiplied together give a palindrome (26741014762).

The spelling of 221000122121 in words is "two hundred twenty-one billion, one hundred twenty-two thousand, one hundred twenty-one".