100303011221 has 12 divisors (see below), whose sum is σ = 117834256620. Its totient is φ = 85122777600.

The previous prime is 100303011197. The next prime is 100303011233. The reversal of 100303011221 is 122110303001.

It can be written as a sum of positive squares in 2 ways, for example, as 81048396100 + 19254615121 = 284690^2 + 138761^2 .

It is not a de Polignac number, because 100303011221 - 2²⁶ = 100235902357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100303011196 and 100303011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303011241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10128716 + ... + 10138613.

It is an arithmetic number, because the mean of its divisors is an integer number (9819521385).

Almost surely, 2^100303011221 is an apocalyptic number.

It is an amenable number.

100303011221 is a deficient number, since it is larger than the sum of its proper divisors (17531245399).

100303011221 is a wasteful number, since it uses less digits than its factorization.

100303011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20267444 (or 20267437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100303011221 its reverse (122110303001), we get a palindrome (222413314222).

The spelling of 100303011221 in words is "one hundred billion, three hundred three million, eleven thousand, two hundred twenty-one".