100012337 has 2 divisors, whose sum is σ = 100012338. Its totient is φ = 100012336.

The previous prime is 100012301. The next prime is 100012351. The reversal of 100012337 is 733210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50112241 + 49900096 = 7079^2 + 7064^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012337 - 2⁶ = 100012273 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006168 + 50006169.

It is an arithmetic number, because the mean of its divisors is an integer number (50006169).

Almost surely, 2^100012337 is an apocalyptic number.

It is an amenable number.

100012337 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012337 is an equidigital number, since it uses as much as digits as its factorization.

100012337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 100012337 is about 10000.6168309760. The cubic root of 100012337 is about 464.1779703369.

Adding to 100012337 its reverse (733210001), we get a palindrome (833222338).

The spelling of 100012337 in words is "one hundred million, twelve thousand, three hundred thirty-seven".