100221113113 has 32 divisors (see below), whose sum is σ = 118275655680. Its totient is φ = 83936592000.

The previous prime is 100221113107. The next prime is 100221113129. The reversal of 100221113113 is 311311122001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100221113113 - 2¹⁷ = 100220982041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221113413) 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 31 ways as a sum of consecutive naturals, for example, 2646156 + ... + 2683762.

It is an arithmetic number, because the mean of its divisors is an integer number (3696114240).

Almost surely, 2^100221113113 is an apocalyptic number.

It is an amenable number.

100221113113 is a deficient number, since it is larger than the sum of its proper divisors (18054542567).

100221113113 is a wasteful number, since it uses less digits than its factorization.

100221113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37989.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100221113113 its reverse (311311122001), we get a palindrome (411532235114).

The spelling of 100221113113 in words is "one hundred billion, two hundred twenty-one million, one hundred thirteen thousand, one hundred thirteen".