100011330221 has 16 divisors (see below), whose sum is σ = 111440683008. Its totient is φ = 88972105200.

The previous prime is 100011330197. The next prime is 100011330257. The reversal of 100011330221 is 122033110001.

It is not a de Polignac number, because 100011330221 - 2¹⁸ = 100011068077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011330196 and 100011330205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011330271) 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, 6667496 + ... + 6682478.

It is an arithmetic number, because the mean of its divisors is an integer number (6965042688).

Almost surely, 2^100011330221 is an apocalyptic number.

100011330221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011330221 is a deficient number, since it is larger than the sum of its proper divisors (11429352787).

100011330221 is a wasteful number, since it uses less digits than its factorization.

100011330221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27952.

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

Adding to 100011330221 its reverse (122033110001), we get a palindrome (222044440222).

The spelling of 100011330221 in words is "one hundred billion, eleven million, three hundred thirty thousand, two hundred twenty-one".