100222110137 has 2 divisors, whose sum is σ = 100222110138. Its totient is φ = 100222110136.

The previous prime is 100222110103. The next prime is 100222110161. The reversal of 100222110137 is 731011222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78850886416 + 21371223721 = 280804^2 + 146189^2 .

It is an emirp because it is prime and its reverse (731011222001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222110137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100222110167) 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, 50111055068 + 50111055069.

It is an arithmetic number, because the mean of its divisors is an integer number (50111055069).

Almost surely, 2^100222110137 is an apocalyptic number.

It is an amenable number.

100222110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222110137 is an equidigital number, since it uses as much as digits as its factorization.

100222110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 100222110137 its reverse (731011222001), we get a palindrome (831233332138).

The spelling of 100222110137 in words is "one hundred billion, two hundred twenty-two million, one hundred ten thousand, one hundred thirty-seven".