10001013010127 has 2 divisors, whose sum is σ = 10001013010128. Its totient is φ = 10001013010126.

The previous prime is 10001013010061. The next prime is 10001013010159. The reversal of 10001013010127 is 72101031010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001013010127 - 2²⁶ = 10000945901263 is a prime.

It is a super-2 number, since 2×10001013010127² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001013010627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000506505063 + 5000506505064.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506505064).

Almost surely, 2^{10001013010127} is an apocalyptic number.

10001013010127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001013010127 is an equidigital number, since it uses as much as digits as its factorization.

10001013010127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 10001013010127 its reverse (72101031010001), we get a palindrome (82102044020128).

The spelling of 10001013010127 in words is "ten trillion, one billion, thirteen million, ten thousand, one hundred twenty-seven".