13101121022121 has 40 divisors (see below), whose sum is σ = 21375730094400. Its totient is φ = 7930495006560.

The previous prime is 13101121022117. The next prime is 13101121022123. The reversal of 13101121022121 is 12122012110131.

It is a happy number.

13101121022121 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 210 + 22 + 121 = 666.

It is not a de Polignac number, because 13101121022121 - 2² = 13101121022117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13101121022094 and 13101121022103.

It is not an unprimeable number, because it can be changed into a prime (13101121022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8129781 + ... + 9607058.

It is an arithmetic number, because the mean of its divisors is an integer number (534393252360).

Almost surely, 2^{13101121022121} is an apocalyptic number.

13101121022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101121022121 is a deficient number, since it is larger than the sum of its proper divisors (8274609072279).

13101121022121 is a wasteful number, since it uses less digits than its factorization.

13101121022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17737691 (or 17737682 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13101121022121 its reverse (12122012110131), we get a palindrome (25223133132252).

The spelling of 13101121022121 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-one".