122131013420401 has 2 divisors, whose sum is σ = 122131013420402. Its totient is φ = 122131013420400.

The previous prime is 122131013420399. The next prime is 122131013420407. The reversal of 122131013420401 is 104024310131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107940151830625 + 14190861589776 = 10389425^2 + 3767076^2 .

It is an emirp because it is prime and its reverse (104024310131221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122131013420401 - 2¹ = 122131013420399 is a prime.

Together with 122131013420399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122131013420407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065506710200 + 61065506710201.

It is an arithmetic number, because the mean of its divisors is an integer number (61065506710201).

Almost surely, 2^{122131013420401} is an apocalyptic number.

It is an amenable number.

122131013420401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131013420401 is an equidigital number, since it uses as much as digits as its factorization.

122131013420401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122131013420401 its reverse (104024310131221), we get a palindrome (226155323551622).

The spelling of 122131013420401 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, thirteen million, four hundred twenty thousand, four hundred one".