122528001601 has 2 divisors, whose sum is σ = 122528001602. Its totient is φ = 122528001600.

The previous prime is 122528001559. The next prime is 122528001613. The reversal of 122528001601 is 106100825221.

It is a Cunningham number, because it is equal to 350040²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122528001600 + 1 = 350040^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 122528001601 - 2⁷ = 122528001473 is a prime.

It is a super-2 number, since 2×122528001601² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122528001601.

It is not a weakly prime, because it can be changed into another prime (122528001901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61264000800 + 61264000801.

It is an arithmetic number, because the mean of its divisors is an integer number (61264000801).

Almost surely, 2^122528001601 is an apocalyptic number.

It is an amenable number.

122528001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

122528001601 is an equidigital number, since it uses as much as digits as its factorization.

122528001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 122528001601 its reverse (106100825221), we get a palindrome (228628826822).

The spelling of 122528001601 in words is "one hundred twenty-two billion, five hundred twenty-eight million, one thousand, six hundred one".