122022220012001 has 2 divisors, whose sum is σ = 122022220012002. Its totient is φ = 122022220012000.

The previous prime is 122022220011977. The next prime is 122022220012111. The reversal of 122022220012001 is 100210022220221.

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., 102958037286976 + 19064182725025 = 10146824^2 + 4366255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122022220012001 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 (122022220012201) 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, 61011110006000 + 61011110006001.

It is an arithmetic number, because the mean of its divisors is an integer number (61011110006001).

Almost surely, 2^{122022220012001} is an apocalyptic number.

It is an amenable number.

122022220012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022220012001 is an equidigital number, since it uses as much as digits as its factorization.

122022220012001 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 122022220012001 its reverse (100210022220221), we get a palindrome (222232242232222).

The spelling of 122022220012001 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred twenty million, twelve thousand, one".