100321132301 has 8 divisors (see below), whose sum is σ = 108105311160. Its totient is φ = 92546548992.

The previous prime is 100321132271. The next prime is 100321132313. The reversal of 100321132301 is 103231123001.

It can be written as a sum of positive squares in 4 ways, for example, as 3414064900 + 96907067401 = 58430^2 + 311299^2 .

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 100321132301 - 2¹⁸ = 100320870157 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 100321132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321132501) 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, 2377160 + ... + 2418993.

It is an arithmetic number, because the mean of its divisors is an integer number (13513163895).

Almost surely, 2^100321132301 is an apocalyptic number.

It is an amenable number.

100321132301 is a deficient number, since it is larger than the sum of its proper divisors (7784178859).

100321132301 is a wasteful number, since it uses less digits than its factorization.

100321132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797775.

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

Adding to 100321132301 its reverse (103231123001), we get a palindrome (203552255302).

The spelling of 100321132301 in words is "one hundred billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred one".