221122202121001 has 2 divisors, whose sum is σ = 221122202121002. Its totient is φ = 221122202121000.

The previous prime is 221122202120957. The next prime is 221122202121011. The reversal of 221122202121001 is 100121202221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211406481950976 + 9715720170025 = 14539824^2 + 3117005^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122202121001 - 2⁴³ = 212326109098793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221122202121001.

It is not a weakly prime, because it can be changed into another prime (221122202121011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561101060500 + 110561101060501.

It is an arithmetic number, because the mean of its divisors is an integer number (110561101060501).

Almost surely, 2^{221122202121001} is an apocalyptic number.

It is an amenable number.

221122202121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122202121001 is an equidigital number, since it uses as much as digits as its factorization.

221122202121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122202121001 its reverse (100121202221122), we get a palindrome (321243404342123).

The spelling of 221122202121001 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-one thousand, one".