122002221022001 has 2 divisors, whose sum is σ = 122002221022002. Its totient is φ = 122002221022000.

The previous prime is 122002221021977. The next prime is 122002221022027. The reversal of 122002221022001 is 100220122200221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62617072479025 + 59385148542976 = 7913095^2 + 7706176^2 .

It is an emirp because it is prime and its reverse (100220122200221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122002221022001 - 2²⁶ = 122002153913137 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 (122002221022051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61001110511000 + 61001110511001.

It is an arithmetic number, because the mean of its divisors is an integer number (61001110511001).

Almost surely, 2^{122002221022001} is an apocalyptic number.

It is an amenable number.

122002221022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122002221022001 is an equidigital number, since it uses as much as digits as its factorization.

122002221022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122002221022001 its reverse (100220122200221), we get a palindrome (222222343222222).

The spelling of 122002221022001 in words is "one hundred twenty-two trillion, two billion, two hundred twenty-one million, twenty-two thousand, one".