122101001200001 has 2 divisors, whose sum is σ = 122101001200002. Its totient is φ = 122101001200000.

The previous prime is 122101001199977. The next prime is 122101001200091. The reversal of 122101001200001 is 100002100101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91994666218225 + 30106334981776 = 9591385^2 + 5486924^2 .

It is an emirp because it is prime and its reverse (100002100101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101001200001 - 2¹⁰ = 122101001198977 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101001200091) 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, 61050500600000 + 61050500600001.

It is an arithmetic number, because the mean of its divisors is an integer number (61050500600001).

Almost surely, 2^{122101001200001} is an apocalyptic number.

It is an amenable number.

122101001200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101001200001 is an equidigital number, since it uses as much as digits as its factorization.

122101001200001 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 11.

Adding to 122101001200001 its reverse (100002100101221), we get a palindrome (222103101301222).

The spelling of 122101001200001 in words is "one hundred twenty-two trillion, one hundred one billion, one million, two hundred thousand, one".