10013013122121 has 24 divisors (see below), whose sum is σ = 14537035660680. Its totient is φ = 6641345765376.

The previous prime is 10013013122107. The next prime is 10013013122137. The reversal of 10013013122121 is 12122131031001.

10013013122121 is a `hidden beast` number, since 10 + 0 + 1 + 301 + 312 + 21 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3594588483600 + 6418424638521 = 1895940^2 + 2533461^2 .

It is not a de Polignac number, because 10013013122121 - 2¹⁸ = 10013012859977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013013122094 and 10013013122103.

It is not an unprimeable number, because it can be changed into a prime (10013013122621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693510 + ... + 4528463.

It is an arithmetic number, because the mean of its divisors is an integer number (605709819195).

Almost surely, 2^{10013013122121} is an apocalyptic number.

It is an amenable number.

10013013122121 is a deficient number, since it is larger than the sum of its proper divisors (4524022538559).

10013013122121 is a wasteful number, since it uses less digits than its factorization.

10013013122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223065 (or 5223062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10013013122121 its reverse (12122131031001), we get a palindrome (22135144153122).

The spelling of 10013013122121 in words is "ten trillion, thirteen billion, thirteen million, one hundred twenty-two thousand, one hundred twenty-one".