122122232213101 has 2 divisors, whose sum is σ = 122122232213102. Its totient is φ = 122122232213100.

The previous prime is 122122232213081. The next prime is 122122232213129. The reversal of 122122232213101 is 101312232221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107742012613225 + 14380219599876 = 10379885^2 + 3792126^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122232213101 - 2⁷ = 122122232212973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122232283101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061116106550 + 61061116106551.

It is an arithmetic number, because the mean of its divisors is an integer number (61061116106551).

Almost surely, 2^{122122232213101} is an apocalyptic number.

It is an amenable number.

122122232213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122232213101 is an equidigital number, since it uses as much as digits as its factorization.

122122232213101 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 122122232213101 its reverse (101312232221221), we get a palindrome (223434464434322).

The spelling of 122122232213101 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred one".