122212021218101 has 2 divisors, whose sum is σ = 122212021218102. Its totient is φ = 122212021218100.

The previous prime is 122212021218071. The next prime is 122212021218103. The reversal of 122212021218101 is 101812120212221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64374931513201 + 57837089704900 = 8023399^2 + 7605070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122212021218101 is a prime.

Together with 122212021218103, 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 (122212021218103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106010609050 + 61106010609051.

It is an arithmetic number, because the mean of its divisors is an integer number (61106010609051).

Almost surely, 2^{122212021218101} is an apocalyptic number.

It is an amenable number.

122212021218101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212021218101 is an equidigital number, since it uses as much as digits as its factorization.

122212021218101 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 26.

The spelling of 122212021218101 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-one million, two hundred eighteen thousand, one hundred one".