120100100123257 has 2 divisors, whose sum is σ = 120100100123258. Its totient is φ = 120100100123256.

The previous prime is 120100100123249. The next prime is 120100100123281. The reversal of 120100100123257 is 752321001001021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92520755550441 + 27579344572816 = 9618771^2 + 5251604^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100100123257 - 2³ = 120100100123249 is a prime.

It is not a weakly prime, because it can be changed into another prime (120100100123207) 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, 60050050061628 + 60050050061629.

It is an arithmetic number, because the mean of its divisors is an integer number (60050050061629).

Almost surely, 2^{120100100123257} is an apocalyptic number.

It is an amenable number.

120100100123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100100123257 is an equidigital number, since it uses as much as digits as its factorization.

120100100123257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 120100100123257 its reverse (752321001001021), we get a palindrome (872421101124278).

The spelling of 120100100123257 in words is "one hundred twenty trillion, one hundred billion, one hundred million, one hundred twenty-three thousand, two hundred fifty-seven".