10100144353037 has 2 divisors, whose sum is σ = 10100144353038. Its totient is φ = 10100144353036.

The previous prime is 10100144353027. The next prime is 10100144353111. The reversal of 10100144353037 is 73035344100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5978152140676 + 4121992212361 = 2445026^2 + 2030269^2 .

It is an emirp because it is prime and its reverse (73035344100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100144353037 - 2¹⁰ = 10100144352013 is a prime.

It is a super-2 number, since 2×10100144353037² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100144352994 and 10100144353012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100144353027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050072176518 + 5050072176519.

It is an arithmetic number, because the mean of its divisors is an integer number (5050072176519).

Almost surely, 2^{10100144353037} is an apocalyptic number.

It is an amenable number.

10100144353037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100144353037 is an equidigital number, since it uses as much as digits as its factorization.

10100144353037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 10100144353037 its reverse (73035344100101), we get a palindrome (83135488453138).

The spelling of 10100144353037 in words is "ten trillion, one hundred billion, one hundred forty-four million, three hundred fifty-three thousand, thirty-seven".