122112301301 has 2 divisors, whose sum is σ = 122112301302. Its totient is φ = 122112301300.

The previous prime is 122112301277. The next prime is 122112301303. The reversal of 122112301301 is 103103211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62824921201 + 59287380100 = 250649^2 + 243490^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112301301 - 2¹⁸ = 122112039157 is a prime.

It is a super-2 number, since 2×122112301301² (a number of 23 digits) contains 22 as substring.

Together with 122112301303, 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 122112301301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112301303) 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, 61056150650 + 61056150651.

It is an arithmetic number, because the mean of its divisors is an integer number (61056150651).

Almost surely, 2^122112301301 is an apocalyptic number.

It is an amenable number.

122112301301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112301301 is an equidigital number, since it uses as much as digits as its factorization.

122112301301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122112301301 its reverse (103103211221), we get a palindrome (225215512522).

The spelling of 122112301301 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred one thousand, three hundred one".