212122101101021 has 2 divisors, whose sum is σ = 212122101101022. Its totient is φ = 212122101101020.

The previous prime is 212122101100979. The next prime is 212122101101023. The reversal of 212122101101021 is 120101101221212.

212122101101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130483900932025 + 81638200168996 = 11422955^2 + 9035386^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122101101021 - 2²² = 212122096906717 is a prime.

Together with 212122101101023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122101101023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061050550510 + 106061050550511.

It is an arithmetic number, because the mean of its divisors is an integer number (106061050550511).

Almost surely, 2^{212122101101021} is an apocalyptic number.

It is an amenable number.

212122101101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122101101021 is an equidigital number, since it uses as much as digits as its factorization.

212122101101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212122101101021 its reverse (120101101221212), we get a palindrome (332223202322233).

The spelling of 212122101101021 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred one thousand, twenty-one".