221021022122113 has 2 divisors, whose sum is σ = 221021022122114. Its totient is φ = 221021022122112.

The previous prime is 221021022122081. The next prime is 221021022122141. The reversal of 221021022122113 is 311221220120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137339929900944 + 83681092221169 = 11719212^2 + 9147737^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021022122113 - 2⁵ = 221021022122081 is a prime.

It is not a weakly prime, because it can be changed into another prime (221021022122413) 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, 110510511061056 + 110510511061057.

It is an arithmetic number, because the mean of its divisors is an integer number (110510511061057).

Almost surely, 2^{221021022122113} is an apocalyptic number.

It is an amenable number.

221021022122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021022122113 is an equidigital number, since it uses as much as digits as its factorization.

221021022122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221021022122113 its reverse (311221220120122), we get a palindrome (532242242242235).

The spelling of 221021022122113 in words is "two hundred twenty-one trillion, twenty-one billion, twenty-two million, one hundred twenty-two thousand, one hundred thirteen".