10001013123121 has 12 divisors (see below), whose sum is σ = 10455019559460. Its totient is φ = 9565935505280.

The previous prime is 10001013123097. The next prime is 10001013123151. The reversal of 10001013123121 is 12132131010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8949455166096 + 1051557957025 = 2991564^2 + 1025455^2 .

It is not a de Polignac number, because 10001013123121 - 2⁷ = 10001013122993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001013123095 and 10001013123104.

It is not an unprimeable number, because it can be changed into a prime (10001013123151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21783981 + ... + 22238341.

It is an arithmetic number, because the mean of its divisors is an integer number (871251629955).

Almost surely, 2^{10001013123121} is an apocalyptic number.

It is an amenable number.

10001013123121 is a deficient number, since it is larger than the sum of its proper divisors (454006436339).

10001013123121 is an equidigital number, since it uses as much as digits as its factorization.

10001013123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496016 (or 495993 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10001013123121 its reverse (12132131010001), we get a palindrome (22133144133122).

The spelling of 10001013123121 in words is "ten trillion, one billion, thirteen million, one hundred twenty-three thousand, one hundred twenty-one".