20002122110213 has 2 divisors, whose sum is σ = 20002122110214. Its totient is φ = 20002122110212.

The previous prime is 20002122110137. The next prime is 20002122110291. The reversal of 20002122110213 is 31201122120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18165181015969 + 1836941094244 = 4262063^2 + 1355338^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002122110213 - 2¹⁴ = 20002122093829 is a prime.

It is a super-2 number, since 2×20002122110213² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20002122110191 and 20002122110200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002122110813) 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, 10001061055106 + 10001061055107.

It is an arithmetic number, because the mean of its divisors is an integer number (10001061055107).

Almost surely, 2^{20002122110213} is an apocalyptic number.

It is an amenable number.

20002122110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002122110213 is an equidigital number, since it uses as much as digits as its factorization.

20002122110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20002122110213 its reverse (31201122120002), we get a palindrome (51203244230215).

The spelling of 20002122110213 in words is "twenty trillion, two billion, one hundred twenty-two million, one hundred ten thousand, two hundred thirteen".