10120335722753 has 2 divisors, whose sum is σ = 10120335722754. Its totient is φ = 10120335722752.

The previous prime is 10120335722681. The next prime is 10120335722759. The reversal of 10120335722753 is 35722753302101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10073336517904 + 46999204849 = 3173852^2 + 216793^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120335722753 - 2²² = 10120331528449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120335722753.

It is not a weakly prime, because it can be changed into another prime (10120335722759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060167861376 + 5060167861377.

It is an arithmetic number, because the mean of its divisors is an integer number (5060167861377).

Almost surely, 2^{10120335722753} is an apocalyptic number.

It is an amenable number.

10120335722753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120335722753 is an equidigital number, since it uses as much as digits as its factorization.

10120335722753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 10120335722753 in words is "ten trillion, one hundred twenty billion, three hundred thirty-five million, seven hundred twenty-two thousand, seven hundred fifty-three".