57999121100001 has 12 divisors (see below), whose sum is σ = 83923742899620. Its totient is φ = 38598126282240.

The previous prime is 57999121099961. The next prime is 57999121100009. The reversal of 57999121100001 is 10000112199975.

It can be written as a sum of positive squares in 2 ways, for example, as 15062750917776 + 42936370182225 = 3881076^2 + 6552585^2 .

It is not a de Polignac number, because 57999121100001 - 2¹⁰ = 57999121098977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57999121100001.

It is not an unprimeable number, because it can be changed into a prime (57999121100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5662865520 + ... + 5662875761.

It is an arithmetic number, because the mean of its divisors is an integer number (6993645241635).

Almost surely, 2^{57999121100001} is an apocalyptic number.

It is an amenable number.

57999121100001 is a deficient number, since it is larger than the sum of its proper divisors (25924621799619).

57999121100001 is a wasteful number, since it uses less digits than its factorization.

57999121100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325741856 (or 11325741853 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

Adding to 57999121100001 its reverse (10000112199975), we get a palindrome (67999233299976).

The spelling of 57999121100001 in words is "fifty-seven trillion, nine hundred ninety-nine billion, one hundred twenty-one million, one hundred thousand, one".