101310301301121 has 64 divisors (see below), whose sum is σ = 164145920640000. Its totient is φ = 61245666656640.

The previous prime is 101310301301107. The next prime is 101310301301129. The reversal of 101310301301121 is 121103103013101.

101310301301121 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 30 + 1 + 301 + 1 + 21 = 666.

It is not a de Polignac number, because 101310301301121 - 2¹¹ = 101310301299073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101310301301094 and 101310301301103.

It is not an unprimeable number, because it can be changed into a prime (101310301301129) 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 63 ways as a sum of consecutive naturals, for example, 2687328330 + ... + 2687366028.

It is an arithmetic number, because the mean of its divisors is an integer number (2564780010000).

Almost surely, 2^{101310301301121} is an apocalyptic number.

101310301301121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101310301301121 is a deficient number, since it is larger than the sum of its proper divisors (62835619338879).

101310301301121 is a wasteful number, since it uses less digits than its factorization.

101310301301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60251 (or 60245 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101310301301121 its reverse (121103103013101), we get a palindrome (222413404314222).

The spelling of 101310301301121 in words is "one hundred one trillion, three hundred ten billion, three hundred one million, three hundred one thousand, one hundred twenty-one".