221021613086441 has 2 divisors, whose sum is σ = 221021613086442. Its totient is φ = 221021613086440.

The previous prime is 221021613086429. The next prime is 221021613086473. The reversal of 221021613086441 is 144680316120122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221018025555625 + 3587530816 = 14866675^2 + 59896^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021613086441 - 2¹⁸ = 221021612824297 is a prime.

It is a super-2 number, since 2×221021613086441² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221021613016441) 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 as a sum of consecutive naturals, namely, 110510806543220 + 110510806543221.

It is an arithmetic number, because the mean of its divisors is an integer number (110510806543221).

Almost surely, 2^{221021613086441} is an apocalyptic number.

It is an amenable number.

221021613086441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021613086441 is an equidigital number, since it uses as much as digits as its factorization.

221021613086441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 221021613086441 in words is "two hundred twenty-one trillion, twenty-one billion, six hundred thirteen million, eighty-six thousand, four hundred forty-one".