10124235225441 has 12 divisors (see below), whose sum is σ = 14730639088932. Its totient is φ = 6700223798016.

The previous prime is 10124235225439. The next prime is 10124235225443. The reversal of 10124235225441 is 14452253242101.

10124235225441 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 42 + 3 + 522 + 54 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (10124235225439) and next prime (10124235225443).

It can be written as a sum of positive squares in 2 ways, for example, as 7082629465041 + 3041605760400 = 2661321^2 + 1744020^2 .

It is not a de Polignac number, because 10124235225441 - 2¹ = 10124235225439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10124235225396 and 10124235225405.

It is not an unprimeable number, because it can be changed into a prime (10124235225443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4105528056 + ... + 4105530521.

It is an arithmetic number, because the mean of its divisors is an integer number (1227553257411).

Almost surely, 2^{10124235225441} is an apocalyptic number.

It is an amenable number.

10124235225441 is a deficient number, since it is larger than the sum of its proper divisors (4606403863491).

10124235225441 is a wasteful number, since it uses less digits than its factorization.

10124235225441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211058720 (or 8211058717 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10124235225441 its reverse (14452253242101), we get a palindrome (24576488467542).

The spelling of 10124235225441 in words is "ten trillion, one hundred twenty-four billion, two hundred thirty-five million, two hundred twenty-five thousand, four hundred forty-one".