100223033137 has 2 divisors, whose sum is σ = 100223033138. Its totient is φ = 100223033136.

The previous prime is 100223033087. The next prime is 100223033191. The reversal of 100223033137 is 731330322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67331946256 + 32891086881 = 259484^2 + 181359^2 .

It is a cyclic number.

It is not a de Polignac number, because 100223033137 - 2²³ = 100214644529 is a prime.

It is not a weakly prime, because it can be changed into another prime (100223033237) 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, 50111516568 + 50111516569.

It is an arithmetic number, because the mean of its divisors is an integer number (50111516569).

Almost surely, 2^100223033137 is an apocalyptic number.

It is an amenable number.

100223033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100223033137 is an equidigital number, since it uses as much as digits as its factorization.

100223033137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 100223033137 its reverse (731330322001), we get a palindrome (831553355138).

The spelling of 100223033137 in words is "one hundred billion, two hundred twenty-three million, thirty-three thousand, one hundred thirty-seven".