10134031103201 has 2 divisors, whose sum is σ = 10134031103202. Its totient is φ = 10134031103200.

The previous prime is 10134031103143. The next prime is 10134031103221. The reversal of 10134031103201 is 10230113043101.

10134031103201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10134031103221) can be obtained adding 10134031103201 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9308478960400 + 825552142801 = 3050980^2 + 908599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10134031103201 is a prime.

It is a super-2 number, since 2×10134031103201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10134031103221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067015551600 + 5067015551601.

It is an arithmetic number, because the mean of its divisors is an integer number (5067015551601).

Almost surely, 2^{10134031103201} is an apocalyptic number.

It is an amenable number.

10134031103201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10134031103201 is an equidigital number, since it uses as much as digits as its factorization.

10134031103201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10134031103201 its reverse (10230113043101), we get a palindrome (20364144146302).

The spelling of 10134031103201 in words is "ten trillion, one hundred thirty-four billion, thirty-one million, one hundred three thousand, two hundred one".