221600256121 has 2 divisors, whose sum is σ = 221600256122. Its totient is φ = 221600256120.

The previous prime is 221600256079. The next prime is 221600256151. The reversal of 221600256121 is 121652006122.

221600256121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184105355625 + 37494900496 = 429075^2 + 193636^2 .

It is a cyclic number.

It is not a de Polignac number, because 221600256121 - 2⁷ = 221600255993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221600256121.

It is not a weakly prime, because it can be changed into another prime (221600256151) 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 as a sum of consecutive naturals, namely, 110800128060 + 110800128061.

It is an arithmetic number, because the mean of its divisors is an integer number (110800128061).

Almost surely, 2^221600256121 is an apocalyptic number.

It is an amenable number.

221600256121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221600256121 is an equidigital number, since it uses as much as digits as its factorization.

221600256121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 221600256121 in words is "two hundred twenty-one billion, six hundred million, two hundred fifty-six thousand, one hundred twenty-one".