10085100371837 has 2 divisors, whose sum is σ = 10085100371838. Its totient is φ = 10085100371836.

The previous prime is 10085100371833. The next prime is 10085100371851. The reversal of 10085100371837 is 73817300158001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9617776372516 + 467323999321 = 3101254^2 + 683611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10085100371837 - 2² = 10085100371833 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10085100371833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042550185918 + 5042550185919.

It is an arithmetic number, because the mean of its divisors is an integer number (5042550185919).

Almost surely, 2^{10085100371837} is an apocalyptic number.

It is an amenable number.

10085100371837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10085100371837 is an equidigital number, since it uses as much as digits as its factorization.

10085100371837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 141120, while the sum is 44.

The spelling of 10085100371837 in words is "ten trillion, eighty-five billion, one hundred million, three hundred seventy-one thousand, eight hundred thirty-seven".