123102001221253 has 2 divisors, whose sum is σ = 123102001221254. Its totient is φ = 123102001221252.

The previous prime is 123102001221247. The next prime is 123102001221257. The reversal of 123102001221253 is 352122100201321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106101495111364 + 17000506109889 = 10300558^2 + 4123167^2 .

It is a cyclic number.

It is not a de Polignac number, because 123102001221253 - 2²⁹ = 123101464350341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123102001221257) 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, 61551000610626 + 61551000610627.

It is an arithmetic number, because the mean of its divisors is an integer number (61551000610627).

Almost surely, 2^{123102001221253} is an apocalyptic number.

It is an amenable number.

123102001221253 is a deficient number, since it is larger than the sum of its proper divisors (1).

123102001221253 is an equidigital number, since it uses as much as digits as its factorization.

123102001221253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 123102001221253 its reverse (352122100201321), we get a palindrome (475224101422574).

The spelling of 123102001221253 in words is "one hundred twenty-three trillion, one hundred two billion, one million, two hundred twenty-one thousand, two hundred fifty-three".