10100118037 has 2 divisors, whose sum is σ = 10100118038. Its totient is φ = 10100118036.

The previous prime is 10100118001. The next prime is 10100118071. The reversal of 10100118037 is 73081100101.

10100118037 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5843990916 + 4256127121 = 76446^2 + 65239^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100118037 - 2¹¹ = 10100115989 is a prime.

It is a super-2 number, since 2×10100118037² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100117999 and 10100118017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100118337) 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, 5050059018 + 5050059019.

It is an arithmetic number, because the mean of its divisors is an integer number (5050059019).

Almost surely, 2^10100118037 is an apocalyptic number.

It is an amenable number.

10100118037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100118037 is an equidigital number, since it uses as much as digits as its factorization.

10100118037 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 22.

Adding to 10100118037 its reverse (73081100101), we get a palindrome (83181218138).

The spelling of 10100118037 in words is "ten billion, one hundred million, one hundred eighteen thousand, thirty-seven".