2222001121601 has 2 divisors, whose sum is σ = 2222001121602. Its totient is φ = 2222001121600.

The previous prime is 2222001121553. The next prime is 2222001121609. The reversal of 2222001121601 is 1061211002222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1639795497025 + 582205624576 = 1280545^2 + 763024^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222001121601 - 2³⁰ = 2220927379777 is a prime.

It is a super-2 number, since 2×2222001121601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2222001121609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111000560800 + 1111000560801.

It is an arithmetic number, because the mean of its divisors is an integer number (1111000560801).

Almost surely, 2^{2222001121601} is an apocalyptic number.

It is an amenable number.

2222001121601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222001121601 is an equidigital number, since it uses as much as digits as its factorization.

2222001121601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2222001121601 its reverse (1061211002222), we get a palindrome (3283212123823).

The spelling of 2222001121601 in words is "two trillion, two hundred twenty-two billion, one million, one hundred twenty-one thousand, six hundred one".