57516112121101 has 2 divisors, whose sum is σ = 57516112121102. Its totient is φ = 57516112121100.

The previous prime is 57516112121071. The next prime is 57516112121173. The reversal of 57516112121101 is 10112121161575.

57516112121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55193398959076 + 2322713162025 = 7429226^2 + 1524045^2 .

It is a cyclic number.

It is not a de Polignac number, because 57516112121101 - 2¹⁹ = 57516111596813 is a prime.

It is a super-2 number, since 2×57516112121101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57516112122101) 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, 28758056060550 + 28758056060551.

It is an arithmetic number, because the mean of its divisors is an integer number (28758056060551).

Almost surely, 2^{57516112121101} is an apocalyptic number.

It is an amenable number.

57516112121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57516112121101 is an equidigital number, since it uses as much as digits as its factorization.

57516112121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 34.

Adding to 57516112121101 its reverse (10112121161575), we get a palindrome (67628233282676).

The spelling of 57516112121101 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".