101330100310121 has 16 divisors (see below), whose sum is σ = 105025280448144. Its totient is φ = 97685854930944.

The previous prime is 101330100310073. The next prime is 101330100310139. The reversal of 101330100310121 is 121013001033101.

It can be written as a sum of positive squares in 8 ways, for example, as 574277511721 + 100755822798400 = 757811^2 + 10037720^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330100310121 - 2⁴² = 96932053799017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101330100310121.

It is not an unprimeable number, because it can be changed into a prime (101330100310171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8242895 + ... + 16450091.

It is an arithmetic number, because the mean of its divisors is an integer number (6564080028009).

Almost surely, 2^{101330100310121} is an apocalyptic number.

It is an amenable number.

101330100310121 is a deficient number, since it is larger than the sum of its proper divisors (3695180138023).

101330100310121 is a wasteful number, since it uses less digits than its factorization.

101330100310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210300.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101330100310121 its reverse (121013001033101), we get a palindrome (222343101343222).

The spelling of 101330100310121 in words is "one hundred one trillion, three hundred thirty billion, one hundred million, three hundred ten thousand, one hundred twenty-one".