120610657162601 has 2 divisors, whose sum is σ = 120610657162602. Its totient is φ = 120610657162600.

The previous prime is 120610657162561. The next prime is 120610657162649. The reversal of 120610657162601 is 106261756016021.

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., 109398211609600 + 11212445553001 = 10459360^2 + 3348499^2 .

It is an emirp because it is prime and its reverse (106261756016021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120610657162601 - 2⁶ = 120610657162537 is a prime.

It is not a weakly prime, because it can be changed into another prime (120610657168601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60305328581300 + 60305328581301.

It is an arithmetic number, because the mean of its divisors is an integer number (60305328581301).

Almost surely, 2^{120610657162601} is an apocalyptic number.

It is an amenable number.

120610657162601 is a deficient number, since it is larger than the sum of its proper divisors (1).

120610657162601 is an equidigital number, since it uses as much as digits as its factorization.

120610657162601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 120610657162601 in words is "one hundred twenty trillion, six hundred ten billion, six hundred fifty-seven million, one hundred sixty-two thousand, six hundred one".