100303203121 has 16 divisors (see below), whose sum is σ = 111903955200. Its totient is φ = 89139024000.

The previous prime is 100303203053. The next prime is 100303203139. The reversal of 100303203121 is 121302303001.

It is a cyclic number.

It is not a de Polignac number, because 100303203121 - 2¹⁷ = 100303072049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100303203095 and 100303203104.

It is not an unprimeable number, because it can be changed into a prime (100303206121) 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 15 ways as a sum of consecutive naturals, for example, 483636 + ... + 659173.

It is an arithmetic number, because the mean of its divisors is an integer number (6993997200).

Almost surely, 2^100303203121 is an apocalyptic number.

100303203121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100303203121 is a deficient number, since it is larger than the sum of its proper divisors (11600752079).

100303203121 is a wasteful number, since it uses less digits than its factorization.

100303203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143000.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100303203121 its reverse (121302303001), we get a palindrome (221605506122).

The spelling of 100303203121 in words is "one hundred billion, three hundred three million, two hundred three thousand, one hundred twenty-one".