10138668241 has 16 divisors (see below), whose sum is σ = 11043409104. Its totient is φ = 9251979264.

The previous prime is 10138668227. The next prime is 10138668259. The reversal of 10138668241 is 14286683101.

10138668241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 589469841 + 9549198400 = 24279^2 + 97720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10138668241 - 2⁵ = 10138668209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10138668194 and 10138668203.

It is not an unprimeable number, because it can be changed into a prime (10138668271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273425 + ... + 1281361.

It is an arithmetic number, because the mean of its divisors is an integer number (690213069).

Almost surely, 2^10138668241 is an apocalyptic number.

It is an amenable number.

10138668241 is a deficient number, since it is larger than the sum of its proper divisors (904740863).

10138668241 is a wasteful number, since it uses less digits than its factorization.

10138668241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060.

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10138668241 in words is "ten billion, one hundred thirty-eight million, six hundred sixty-eight thousand, two hundred forty-one".