122102101121101 has 2 divisors, whose sum is σ = 122102101121102. Its totient is φ = 122102101121100.

The previous prime is 122102101121087. The next prime is 122102101121123. The reversal of 122102101121101 is 101121101201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75632329989225 + 46469771131876 = 8696685^2 + 6816874^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102101121101 - 2⁵ = 122102101121069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102101121191) 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, 61051050560550 + 61051050560551.

It is an arithmetic number, because the mean of its divisors is an integer number (61051050560551).

Almost surely, 2^{122102101121101} is an apocalyptic number.

It is an amenable number.

122102101121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102101121101 is an equidigital number, since it uses as much as digits as its factorization.

122102101121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 122102101121101 its reverse (101121101201221), we get a palindrome (223223202322322).

The spelling of 122102101121101 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, one hundred one".