122554311004201 has 2 divisors, whose sum is σ = 122554311004202. Its totient is φ = 122554311004200.

The previous prime is 122554311004127. The next prime is 122554311004217. The reversal of 122554311004201 is 102400113455221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86043229850601 + 36511081153600 = 9275949^2 + 6042440^2 .

It is an emirp because it is prime and its reverse (102400113455221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122554311004201 - 2¹⁷ = 122554310873129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122554311004501) 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, 61277155502100 + 61277155502101.

It is an arithmetic number, because the mean of its divisors is an integer number (61277155502101).

Almost surely, 2^{122554311004201} is an apocalyptic number.

It is an amenable number.

122554311004201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122554311004201 is an equidigital number, since it uses as much as digits as its factorization.

122554311004201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 122554311004201 its reverse (102400113455221), we get a palindrome (224954424459422).

The spelling of 122554311004201 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred eleven million, four thousand, two hundred one".