221221313119801 has 2 divisors, whose sum is σ = 221221313119802. Its totient is φ = 221221313119800.

The previous prime is 221221313119759. The next prime is 221221313119837. The reversal of 221221313119801 is 108911313122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215319819488400 + 5901493631401 = 14673780^2 + 2429299^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221313119801 - 2²⁹ = 221220776248889 is a prime.

It is not a weakly prime, because it can be changed into another prime (221221313119501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610656559900 + 110610656559901.

It is an arithmetic number, because the mean of its divisors is an integer number (110610656559901).

Almost surely, 2^{221221313119801} is an apocalyptic number.

It is an amenable number.

221221313119801 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221313119801 is an equidigital number, since it uses as much as digits as its factorization.

221221313119801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 221221313119801 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred thirteen million, one hundred nineteen thousand, eight hundred one".