122101121202089 has 2 divisors, whose sum is σ = 122101121202090. Its totient is φ = 122101121202088.

The previous prime is 122101121202031. The next prime is 122101121202103. The reversal of 122101121202089 is 980202121101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88780057648489 + 33321063553600 = 9422317^2 + 5772440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122101121202089 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101121202689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050560601044 + 61050560601045.

It is an arithmetic number, because the mean of its divisors is an integer number (61050560601045).

Almost surely, 2^{122101121202089} is an apocalyptic number.

It is an amenable number.

122101121202089 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101121202089 is an equidigital number, since it uses as much as digits as its factorization.

122101121202089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 122101121202089 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, two hundred two thousand, eighty-nine".