20002122111073 has 2 divisors, whose sum is σ = 20002122111074. Its totient is φ = 20002122111072.

The previous prime is 20002122110953. The next prime is 20002122111077. The reversal of 20002122111073 is 37011122120002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19153157050624 + 848965060449 = 4376432^2 + 921393^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002122111073 - 2²⁵ = 20002088556641 is a prime.

It is a super-2 number, since 2×20002122111073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20002122111077) 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, 10001061055536 + 10001061055537.

It is an arithmetic number, because the mean of its divisors is an integer number (10001061055537).

Almost surely, 2^{20002122111073} is an apocalyptic number.

It is an amenable number.

20002122111073 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002122111073 is an equidigital number, since it uses as much as digits as its factorization.

20002122111073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 20002122111073 its reverse (37011122120002), we get a palindrome (57013244231075).

The spelling of 20002122111073 in words is "twenty trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, seventy-three".