10301113012721 has 2 divisors, whose sum is σ = 10301113012722. Its totient is φ = 10301113012720.

The previous prime is 10301113012669. The next prime is 10301113012783. The reversal of 10301113012721 is 12721031110301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7691531236321 + 2609581776400 = 2773361^2 + 1615420^2 .

It is an emirp because it is prime and its reverse (12721031110301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10301113012721 - 2¹⁰ = 10301113011697 is a prime.

It is a super-2 number, since 2×10301113012721² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301113072721) 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, 5150556506360 + 5150556506361.

It is an arithmetic number, because the mean of its divisors is an integer number (5150556506361).

Almost surely, 2^{10301113012721} is an apocalyptic number.

It is an amenable number.

10301113012721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301113012721 is an equidigital number, since it uses as much as digits as its factorization.

10301113012721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 10301113012721 in words is "ten trillion, three hundred one billion, one hundred thirteen million, twelve thousand, seven hundred twenty-one".