100221032113 has 2 divisors, whose sum is σ = 100221032114. Its totient is φ = 100221032112.

The previous prime is 100221032101. The next prime is 100221032129. The reversal of 100221032113 is 311230122001.

It is an a-pointer prime, because the next prime (100221032129) can be obtained adding 100221032113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89908223409 + 10312808704 = 299847^2 + 101552^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221032113 - 2⁵ = 100221032081 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221032413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110516056 + 50110516057.

It is an arithmetic number, because the mean of its divisors is an integer number (50110516057).

Almost surely, 2^100221032113 is an apocalyptic number.

It is an amenable number.

100221032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221032113 is an equidigital number, since it uses as much as digits as its factorization.

100221032113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100221032113 its reverse (311230122001), we get a palindrome (411451154114).

The spelling of 100221032113 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, one hundred thirteen".