10137597121 has 2 divisors, whose sum is σ = 10137597122. Its totient is φ = 10137597120.

The previous prime is 10137597059. The next prime is 10137597161. The reversal of 10137597121 is 12179573101.

10137597121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7407012096 + 2730585025 = 86064^2 + 52255^2 .

It is an emirp because it is prime and its reverse (12179573101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10137597121 - 2¹⁹ = 10137072833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10137597161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068798560 + 5068798561.

It is an arithmetic number, because the mean of its divisors is an integer number (5068798561).

Almost surely, 2^10137597121 is an apocalyptic number.

It is an amenable number.

10137597121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137597121 is an equidigital number, since it uses as much as digits as its factorization.

10137597121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 37.

The spelling of 10137597121 in words is "ten billion, one hundred thirty-seven million, five hundred ninety-seven thousand, one hundred twenty-one".