122101100111201 has 2 divisors, whose sum is σ = 122101100111202. Its totient is φ = 122101100111200.

The previous prime is 122101100111191. The next prime is 122101100111297. The reversal of 122101100111201 is 102111001101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121937932587601 + 163167523600 = 11042551^2 + 403940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122101100111201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122101100116201) 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, 61050550055600 + 61050550055601.

It is an arithmetic number, because the mean of its divisors is an integer number (61050550055601).

Almost surely, 2^{122101100111201} is an apocalyptic number.

It is an amenable number.

122101100111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101100111201 is an equidigital number, since it uses as much as digits as its factorization.

122101100111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122101100111201 its reverse (102111001101221), we get a palindrome (224212101212422).

The spelling of 122101100111201 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred million, one hundred eleven thousand, two hundred one".