10115149290601 has 2 divisors, whose sum is σ = 10115149290602. Its totient is φ = 10115149290600.

The previous prime is 10115149290599. The next prime is 10115149290641. The reversal of 10115149290601 is 10609294151101.

10115149290601 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 (10115149290641) can be obtained adding 10115149290601 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6139611774976 + 3975537515625 = 2477824^2 + 1993875^2 .

It is a cyclic number.

It is not a de Polignac number, because 10115149290601 - 2¹ = 10115149290599 is a prime.

It is a super-2 number, since 2×10115149290601² (a number of 27 digits) contains 22 as substring.

Together with 10115149290599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10115149290641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057574645300 + 5057574645301.

It is an arithmetic number, because the mean of its divisors is an integer number (5057574645301).

Almost surely, 2^{10115149290601} is an apocalyptic number.

It is an amenable number.

10115149290601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10115149290601 is an equidigital number, since it uses as much as digits as its factorization.

10115149290601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 40.

The spelling of 10115149290601 in words is "ten trillion, one hundred fifteen billion, one hundred forty-nine million, two hundred ninety thousand, six hundred one".