10116135241 has 9 divisors (see below), whose sum is σ = 10577509159. Its totient is φ = 9674090536.

The previous prime is 10116135229. The next prime is 10116135247. The reversal of 10116135241 is 14253161101.

The square root of 10116135241 is 100579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5813300025 + 4302835216 = 76245^2 + 65596^2 .

It is not a de Polignac number, because 10116135241 - 2⁹ = 10116134729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10116135247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2311131 + ... + 2315503.

Almost surely, 2^10116135241 is an apocalyptic number.

10116135241 is the 100579-th square number.

10116135241 is the 50290-th centered octagonal number.

It is an amenable number.

10116135241 is a deficient number, since it is larger than the sum of its proper divisors (461373918).

10116135241 is an frugal number, since it uses more digits than its factorization.

10116135241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Multiplying 10116135241 by its sum of digits (25), we get a square (252903381025 = 502895²).

Adding to 10116135241 its reverse (14253161101), we get a palindrome (24369296342).

The spelling of 10116135241 in words is "ten billion, one hundred sixteen million, one hundred thirty-five thousand, two hundred forty-one".