122311123102201 has 64 divisors (see below), whose sum is σ = 147108431314944. Its totient is φ = 100503534700800.

The previous prime is 122311123102151. The next prime is 122311123102219. The reversal of 122311123102201 is 102201321113221.

It is a happy number.

It is not a de Polignac number, because 122311123102201 - 2⁴¹ = 120112099846649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122311123102291) 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 in 63 ways as a sum of consecutive naturals, for example, 1191449391 + ... + 1191552043.

It is an arithmetic number, because the mean of its divisors is an integer number (2298569239296).

Almost surely, 2^{122311123102201} is an apocalyptic number.

122311123102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122311123102201 is a deficient number, since it is larger than the sum of its proper divisors (24797308212743).

122311123102201 is a wasteful number, since it uses less digits than its factorization.

122311123102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106294.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 122311123102201 its reverse (102201321113221), we get a palindrome (224512444215422).

The spelling of 122311123102201 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twenty-three million, one hundred two thousand, two hundred one".