10100040037 has 2 divisors, whose sum is σ = 10100040038. Its totient is φ = 10100040036.

The previous prime is 10100039981. The next prime is 10100040053. The reversal of 10100040037 is 73004000101.

It is an a-pointer prime, because the next prime (10100040053) can be obtained adding 10100040037 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7651175841 + 2448864196 = 87471^2 + 49486^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100040037 - 2¹⁹ = 10099515749 is a prime.

It is a super-2 number, since 2×10100040037² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100040037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100040077) 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, 5050020018 + 5050020019.

It is an arithmetic number, because the mean of its divisors is an integer number (5050020019).

Almost surely, 2^10100040037 is an apocalyptic number.

It is an amenable number.

10100040037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100040037 is an equidigital number, since it uses as much as digits as its factorization.

10100040037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 10100040037 its reverse (73004000101), we get a palindrome (83104040138).

The spelling of 10100040037 in words is "ten billion, one hundred million, forty thousand, thirty-seven".