120100100121257 has 2 divisors, whose sum is σ = 120100100121258. Its totient is φ = 120100100121256.

The previous prime is 120100100121187. The next prime is 120100100121341. The reversal of 120100100121257 is 752121001001021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90689262194281 + 29410837926976 = 9523091^2 + 5423176^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100100121257 - 2³⁰ = 120099026379433 is a prime.

It is a super-2 number, since 2×120100100121257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120100100123257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60050050060628 + 60050050060629.

It is an arithmetic number, because the mean of its divisors is an integer number (60050050060629).

Almost surely, 2^{120100100121257} is an apocalyptic number.

It is an amenable number.

120100100121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100100121257 is an equidigital number, since it uses as much as digits as its factorization.

120100100121257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 120100100121257 its reverse (752121001001021), we get a palindrome (872221101122278).

The spelling of 120100100121257 in words is "one hundred twenty trillion, one hundred billion, one hundred million, one hundred twenty-one thousand, two hundred fifty-seven".