10140056263121 has 2 divisors, whose sum is σ = 10140056263122. Its totient is φ = 10140056263120.

The previous prime is 10140056262997. The next prime is 10140056263217. The reversal of 10140056263121 is 12136265004101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9314704000000 + 825352263121 = 3052000^2 + 908489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10140056263121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10140056263621) 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, 5070028131560 + 5070028131561.

It is an arithmetic number, because the mean of its divisors is an integer number (5070028131561).

Almost surely, 2^{10140056263121} is an apocalyptic number.

It is an amenable number.

10140056263121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140056263121 is an equidigital number, since it uses as much as digits as its factorization.

10140056263121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 10140056263121 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred sixty-three thousand, one hundred twenty-one".