122330113100101 has 2 divisors, whose sum is σ = 122330113100102. Its totient is φ = 122330113100100.

The previous prime is 122330113100099. The next prime is 122330113100161. The reversal of 122330113100101 is 101001311033221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72392853543201 + 49937259556900 = 8508399^2 + 7066630^2 .

It is a cyclic number.

It is not a de Polignac number, because 122330113100101 - 2¹ = 122330113100099 is a prime.

Together with 122330113100099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122330113100161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165056550050 + 61165056550051.

It is an arithmetic number, because the mean of its divisors is an integer number (61165056550051).

Almost surely, 2^{122330113100101} is an apocalyptic number.

It is an amenable number.

122330113100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122330113100101 is an equidigital number, since it uses as much as digits as its factorization.

122330113100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 122330113100101 its reverse (101001311033221), we get a palindrome (223331424133322).

The spelling of 122330113100101 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred thirteen million, one hundred thousand, one hundred one".