1001222020081 has 2 divisors, whose sum is σ = 1001222020082. Its totient is φ = 1001222020080.

The previous prime is 1001222020069. The next prime is 1001222020109. The reversal of 1001222020081 is 1800202221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 750605640625 + 250616379456 = 866375^2 + 500616^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001222020081 - 2⁵ = 1001222020049 is a prime.

It is a super-3 number, since 3×1001222020081³ (a number of 37 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 (1001222020021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500611010040 + 500611010041.

It is an arithmetic number, because the mean of its divisors is an integer number (500611010041).

Almost surely, 2^{1001222020081} is an apocalyptic number.

It is an amenable number.

1001222020081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001222020081 is an equidigital number, since it uses as much as digits as its factorization.

1001222020081 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 1001222020081 its reverse (1800202221001), we get a palindrome (2801424241082).

The spelling of 1001222020081 in words is "one trillion, one billion, two hundred twenty-two million, twenty thousand, eighty-one".