10112302312037 has 2 divisors, whose sum is σ = 10112302312038. Its totient is φ = 10112302312036.

The previous prime is 10112302311989. The next prime is 10112302312039. The reversal of 10112302312037 is 73021320321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9823454109121 + 288848202916 = 3134239^2 + 537446^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112302312037 - 2¹² = 10112302307941 is a prime.

It is a super-3 number, since 3×10112302312037³ (a number of 40 digits) contains 333 as substring.

Together with 10112302312039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112302311997 and 10112302312015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112302312039) 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, 5056151156018 + 5056151156019.

It is an arithmetic number, because the mean of its divisors is an integer number (5056151156019).

Almost surely, 2^{10112302312037} is an apocalyptic number.

It is an amenable number.

10112302312037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112302312037 is an equidigital number, since it uses as much as digits as its factorization.

10112302312037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 10112302312037 its reverse (73021320321101), we get a palindrome (83133622633138).

The spelling of 10112302312037 in words is "ten trillion, one hundred twelve billion, three hundred two million, three hundred twelve thousand, thirty-seven".