122102102018153 has 2 divisors, whose sum is σ = 122102102018154. Its totient is φ = 122102102018152.

The previous prime is 122102102018111. The next prime is 122102102018161. The reversal of 122102102018153 is 351810201201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107039964304144 + 15062137714009 = 10346012^2 + 3880997^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102102018153 - 2⁴⁴ = 104509915973737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122102102218153) 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, 61051051009076 + 61051051009077.

It is an arithmetic number, because the mean of its divisors is an integer number (61051051009077).

Almost surely, 2^{122102102018153} is an apocalyptic number.

It is an amenable number.

122102102018153 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102102018153 is an equidigital number, since it uses as much as digits as its factorization.

122102102018153 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 29.

Adding to 122102102018153 its reverse (351810201201221), we get a palindrome (473912303219374).

The spelling of 122102102018153 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, eighteen thousand, one hundred fifty-three".