100112220113 has 2 divisors, whose sum is σ = 100112220114. Its totient is φ = 100112220112.

The previous prime is 100112220097. The next prime is 100112220137. The reversal of 100112220113 is 311022211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90693129409 + 9419090704 = 301153^2 + 97052^2 .

It is an emirp because it is prime and its reverse (311022211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100112220113 - 2⁴ = 100112220097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112220713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056110056 + 50056110057.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110057).

Almost surely, 2^100112220113 is an apocalyptic number.

It is an amenable number.

100112220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112220113 is an equidigital number, since it uses as much as digits as its factorization.

100112220113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100112220113 its reverse (311022211001), we get a palindrome (411134431114).

The spelling of 100112220113 in words is "one hundred billion, one hundred twelve million, two hundred twenty thousand, one hundred thirteen".