10124121041 has 16 divisors (see below), whose sum is σ = 10559031120. Its totient is φ = 9698641920.

The previous prime is 10124121031. The next prime is 10124121043. The reversal of 10124121041 is 14012142101.

It can be written as a sum of positive squares in 8 ways, for example, as 543822400 + 9580298641 = 23320^2 + 97879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10124121041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10124121043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787235 + ... + 799991.

It is an arithmetic number, because the mean of its divisors is an integer number (659939445).

Almost surely, 2^10124121041 is an apocalyptic number.

It is an amenable number.

10124121041 is a deficient number, since it is larger than the sum of its proper divisors (434910079).

10124121041 is a wasteful number, since it uses less digits than its factorization.

10124121041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10124121041 its reverse (14012142101), we get a palindrome (24136263142).

The spelling of 10124121041 in words is "ten billion, one hundred twenty-four million, one hundred twenty-one thousand, forty-one".