10121301321121 has 16 divisors (see below), whose sum is σ = 10370295936000. Its totient is φ = 9874920751488.

The previous prime is 10121301321083. The next prime is 10121301321151. The reversal of 10121301321121 is 12112310312101.

It is a cyclic number.

It is not a de Polignac number, because 10121301321121 - 2²⁵ = 10121267766689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121301321151) 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 15 ways as a sum of consecutive naturals, for example, 36631936 + ... + 36907198.

It is an arithmetic number, because the mean of its divisors is an integer number (648143496000).

Almost surely, 2^{10121301321121} is an apocalyptic number.

It is an amenable number.

10121301321121 is a deficient number, since it is larger than the sum of its proper divisors (248994614879).

10121301321121 is a wasteful number, since it uses less digits than its factorization.

10121301321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280008.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10121301321121 its reverse (12112310312101), we get a palindrome (22233611633222).

The spelling of 10121301321121 in words is "ten trillion, one hundred twenty-one billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty-one".