2001222011081 has 2 divisors, whose sum is σ = 2001222011082. Its totient is φ = 2001222011080.

The previous prime is 2001222011021. The next prime is 2001222011177. The reversal of 2001222011081 is 1801102221002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1410500646025 + 590721365056 = 1187645^2 + 768584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001222011081 - 2¹⁴ = 2001221994697 is a prime.

It is a super-3 number, since 3×2001222011081³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2001222011021) 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, 1000611005540 + 1000611005541.

It is an arithmetic number, because the mean of its divisors is an integer number (1000611005541).

Almost surely, 2^{2001222011081} is an apocalyptic number.

It is an amenable number.

2001222011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001222011081 is an equidigital number, since it uses as much as digits as its factorization.

2001222011081 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 20.

Adding to 2001222011081 its reverse (1801102221002), we get a palindrome (3802324232083).

The spelling of 2001222011081 in words is "two trillion, one billion, two hundred twenty-two million, eleven thousand, eighty-one".