20212202002081 has 2 divisors, whose sum is σ = 20212202002082. Its totient is φ = 20212202002080.

The previous prime is 20212202002079. The next prime is 20212202002121. The reversal of 20212202002081 is 18020020221202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20212136715681 + 65286400 = 4495791^2 + 8080^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212202002081 - 2¹ = 20212202002079 is a prime.

It is a super-2 number, since 2×20212202002081² (a number of 27 digits) contains 22 as substring.

Together with 20212202002079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20212202002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106101001040 + 10106101001041.

It is an arithmetic number, because the mean of its divisors is an integer number (10106101001041).

Almost surely, 2^{20212202002081} is an apocalyptic number.

It is an amenable number.

20212202002081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212202002081 is an equidigital number, since it uses as much as digits as its factorization.

20212202002081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 20212202002081 its reverse (18020020221202), we get a palindrome (38232222223283).

The spelling of 20212202002081 in words is "twenty trillion, two hundred twelve billion, two hundred two million, two thousand, eighty-one".