120323012100253 has 2 divisors, whose sum is σ = 120323012100254. Its totient is φ = 120323012100252.

The previous prime is 120323012100173. The next prime is 120323012100289. The reversal of 120323012100253 is 352001210323021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110035841101209 + 10287170999044 = 10489797^2 + 3207362^2 .

It is a cyclic number.

It is not a de Polignac number, because 120323012100253 - 2³⁷ = 120185573146781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120323012109253) 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, 60161506050126 + 60161506050127.

It is an arithmetic number, because the mean of its divisors is an integer number (60161506050127).

Almost surely, 2^{120323012100253} is an apocalyptic number.

It is an amenable number.

120323012100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

120323012100253 is an equidigital number, since it uses as much as digits as its factorization.

120323012100253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 120323012100253 its reverse (352001210323021), we get a palindrome (472324222423274).

The spelling of 120323012100253 in words is "one hundred twenty trillion, three hundred twenty-three billion, twelve million, one hundred thousand, two hundred fifty-three".