100133302121 has 8 divisors (see below), whose sum is σ = 101029912200. Its totient is φ = 99236876032.

The previous prime is 100133302117. The next prime is 100133302147. The reversal of 100133302121 is 121203331001.

It can be written as a sum of positive squares in 4 ways, for example, as 6693039721 + 93440262400 = 81811^2 + 305680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100133302121 - 2² = 100133302117 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 100133302121.

It is not an unprimeable number, because it can be changed into a prime (100133304121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196771 + ... + 1277703.

It is an arithmetic number, because the mean of its divisors is an integer number (12628739025).

Almost surely, 2^100133302121 is an apocalyptic number.

It is an amenable number.

100133302121 is a deficient number, since it is larger than the sum of its proper divisors (896610079).

100133302121 is a wasteful number, since it uses less digits than its factorization.

100133302121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91995.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100133302121 its reverse (121203331001), we get a palindrome (221336633122).

The spelling of 100133302121 in words is "one hundred billion, one hundred thirty-three million, three hundred two thousand, one hundred twenty-one".