10103131123121 has 12 divisors (see below), whose sum is σ = 10348735093812. Its totient is φ = 9863229481056.

The previous prime is 10103131123097. The next prime is 10103131123139. The reversal of 10103131123121 is 12132113130101.

It can be written as a sum of positive squares in 2 ways, for example, as 5721477425521 + 4381653697600 = 2391961^2 + 2093240^2 .

It is not a de Polignac number, because 10103131123121 - 2¹⁴ = 10103131106737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10103131123093 and 10103131123102.

It is not an unprimeable number, because it can be changed into a prime (10103131143121) 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 11 ways as a sum of consecutive naturals, for example, 2324375 + ... + 5060531.

It is an arithmetic number, because the mean of its divisors is an integer number (862394591151).

Almost surely, 2^{10103131123121} is an apocalyptic number.

It is an amenable number.

10103131123121 is a deficient number, since it is larger than the sum of its proper divisors (245603970691).

10103131123121 is an equidigital number, since it uses as much as digits as its factorization.

10103131123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738240 (or 2738197 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10103131123121 its reverse (12132113130101), we get a palindrome (22235244253222).

The spelling of 10103131123121 in words is "ten trillion, one hundred three billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".