10121310121024 has 56 divisors (see below), whose sum is σ = 20599404491736. Its totient is φ = 4931209728000.

The previous prime is 10121310121003. The next prime is 10121310121033. The reversal of 10121310121024 is 42012101312101.

It can be written as a sum of positive squares in 4 ways, for example, as 125797902400 + 9995512218624 = 354680^2 + 3161568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10121310120992 and 10121310121010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194787 + ... + 4503394.

It is an arithmetic number, because the mean of its divisors is an integer number (367846508781).

Almost surely, 2^{10121310121024} is an apocalyptic number.

It is an amenable number.

10121310121024 is an abundant number, since it is smaller than the sum of its proper divisors (10478094370712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121310121024 is an equidigital number, since it uses as much as digits as its factorization.

10121310121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699055 (or 4699045 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10121310121024 its reverse (42012101312101), we get a palindrome (52133411433125).

The spelling of 10121310121024 in words is "ten trillion, one hundred twenty-one billion, three hundred ten million, one hundred twenty-one thousand, twenty-four".