122131122103301 has 2 divisors, whose sum is σ = 122131122103302. Its totient is φ = 122131122103300.

The previous prime is 122131122103247. The next prime is 122131122103307. The reversal of 122131122103301 is 103301221131221.

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., 69619432318276 + 52511689785025 = 8343826^2 + 7246495^2 .

It is an emirp because it is prime and its reverse (103301221131221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122131122103301 - 2⁴⁶ = 51762377925637 is a prime.

It is a super-2 number, since 2×122131122103301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131122103307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065561051650 + 61065561051651.

It is an arithmetic number, because the mean of its divisors is an integer number (61065561051651).

Almost surely, 2^{122131122103301} is an apocalyptic number.

It is an amenable number.

122131122103301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131122103301 is an equidigital number, since it uses as much as digits as its factorization.

122131122103301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 122131122103301 its reverse (103301221131221), we get a palindrome (225432343234522).

The spelling of 122131122103301 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred three thousand, three hundred one".