10100303323201 has 24 divisors (see below), whose sum is σ = 12653453889384. Its totient is φ = 7991242479360.

The previous prime is 10100303323199. The next prime is 10100303323211. The reversal of 10100303323201 is 10232330300101.

10100303323201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3662817994801 + 6437485328400 = 1913849^2 + 2537220^2 .

It is not a de Polignac number, because 10100303323201 - 2¹ = 10100303323199 is a prime.

It is a super-2 number, since 2×10100303323201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100303323211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27412471 + ... + 27778483.

It is an arithmetic number, because the mean of its divisors is an integer number (527227245391).

Almost surely, 2^{10100303323201} is an apocalyptic number.

It is an amenable number.

10100303323201 is a deficient number, since it is larger than the sum of its proper divisors (2553150566183).

10100303323201 is a wasteful number, since it uses less digits than its factorization.

10100303323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409361 (or 409354 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10100303323201 its reverse (10232330300101), we get a palindrome (20332633623302).

The spelling of 10100303323201 in words is "ten trillion, one hundred billion, three hundred three million, three hundred twenty-three thousand, two hundred one".