122554311004093 has 2 divisors, whose sum is σ = 122554311004094. Its totient is φ = 122554311004092.

The previous prime is 122554311004067. The next prime is 122554311004127. The reversal of 122554311004093 is 390400113455221.

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., 103296589961049 + 19257721043044 = 10163493^2 + 4388362^2 .

It is a cyclic number.

It is not a de Polignac number, because 122554311004093 - 2⁴¹ = 120355287748541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122554311004393) 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, 61277155502046 + 61277155502047.

It is an arithmetic number, because the mean of its divisors is an integer number (61277155502047).

Almost surely, 2^{122554311004093} is an apocalyptic number.

It is an amenable number.

122554311004093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122554311004093 is an equidigital number, since it uses as much as digits as its factorization.

122554311004093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 122554311004093 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred eleven million, four thousand, ninety-three".