10301115064129 has 2 divisors, whose sum is σ = 10301115064130. Its totient is φ = 10301115064128.

The previous prime is 10301115064081. The next prime is 10301115064153. The reversal of 10301115064129 is 92146051110301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10293522555904 + 7592508225 = 3208352^2 + 87135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301115064129 - 2¹³ = 10301115055937 is a prime.

It is a super-2 number, since 2×10301115064129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301115064094 and 10301115064103.

It is not a weakly prime, because it can be changed into another prime (10301115064829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150557532064 + 5150557532065.

It is an arithmetic number, because the mean of its divisors is an integer number (5150557532065).

Almost surely, 2^{10301115064129} is an apocalyptic number.

It is an amenable number.

10301115064129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301115064129 is an equidigital number, since it uses as much as digits as its factorization.

10301115064129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 10301115064129 in words is "ten trillion, three hundred one billion, one hundred fifteen million, sixty-four thousand, one hundred twenty-nine".