101300333121 has 24 divisors (see below), whose sum is σ = 157785502056. Its totient is φ = 62256695040.

The previous prime is 101300333093. The next prime is 101300333131. The reversal of 101300333121 is 121333003101.

It is a happy number.

101300333121 is a `hidden beast` number, since 10 + 1 + 300 + 3 + 331 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 414692496 + 100885640625 = 20364^2 + 317625^2 .

It is not a de Polignac number, because 101300333121 - 2⁵ = 101300333089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101300333094 and 101300333103.

It is not an unprimeable number, because it can be changed into a prime (101300333131) 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 23 ways as a sum of consecutive naturals, for example, 479830 + ... + 657903.

It is an arithmetic number, because the mean of its divisors is an integer number (6574395919).

Almost surely, 2^101300333121 is an apocalyptic number.

It is an amenable number.

101300333121 is a deficient number, since it is larger than the sum of its proper divisors (56485168935).

101300333121 is a wasteful number, since it uses less digits than its factorization.

101300333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138513 (or 1138510 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101300333121 its reverse (121333003101), we get a palindrome (222633336222).

The spelling of 101300333121 in words is "one hundred one billion, three hundred million, three hundred thirty-three thousand, one hundred twenty-one".