212021112761 has 2 divisors, whose sum is σ = 212021112762. Its totient is φ = 212021112760.

The previous prime is 212021112733. The next prime is 212021112763. The reversal of 212021112761 is 167211120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196887438400 + 15133674361 = 443720^2 + 123019^2 .

It is a cyclic number.

It is not a de Polignac number, because 212021112761 - 2⁶ = 212021112697 is a prime.

Together with 212021112763, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212021112761.

It is not a weakly prime, because it can be changed into another prime (212021112763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010556380 + 106010556381.

It is an arithmetic number, because the mean of its divisors is an integer number (106010556381).

Almost surely, 2^212021112761 is an apocalyptic number.

It is an amenable number.

212021112761 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021112761 is an equidigital number, since it uses as much as digits as its factorization.

212021112761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 212021112761 its reverse (167211120212), we get a palindrome (379232232973).

The spelling of 212021112761 in words is "two hundred twelve billion, twenty-one million, one hundred twelve thousand, seven hundred sixty-one".