122554311011201 has 2 divisors, whose sum is σ = 122554311011202. Its totient is φ = 122554311011200.

The previous prime is 122554311011129. The next prime is 122554311011227. The reversal of 122554311011201 is 102110113455221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113246289692176 + 9308021319025 = 10641724^2 + 3050905^2 .

It is a cyclic number.

It is not a de Polignac number, because 122554311011201 - 2¹⁰ = 122554311010177 is a prime.

It is not a weakly prime, because it can be changed into another prime (122554311011281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61277155505600 + 61277155505601.

It is an arithmetic number, because the mean of its divisors is an integer number (61277155505601).

Almost surely, 2^{122554311011201} is an apocalyptic number.

It is an amenable number.

122554311011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122554311011201 is an equidigital number, since it uses as much as digits as its factorization.

122554311011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 122554311011201 its reverse (102110113455221), we get a palindrome (224664424466422).

The spelling of 122554311011201 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred eleven million, eleven thousand, two hundred one".