100112022193 has 2 divisors, whose sum is σ = 100112022194. Its totient is φ = 100112022192.

The previous prime is 100112022113. The next prime is 100112022217. The reversal of 100112022193 is 391220211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99939441424 + 172580769 = 316132^2 + 13137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112022193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112022113) 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 as a sum of consecutive naturals, namely, 50056011096 + 50056011097.

It is an arithmetic number, because the mean of its divisors is an integer number (50056011097).

Almost surely, 2^100112022193 is an apocalyptic number.

It is an amenable number.

100112022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112022193 is an equidigital number, since it uses as much as digits as its factorization.

100112022193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100112022193 its reverse (391220211001), we get a palindrome (491332233194).

The spelling of 100112022193 in words is "one hundred billion, one hundred twelve million, twenty-two thousand, one hundred ninety-three".