10201034442337 has 2 divisors, whose sum is σ = 10201034442338. Its totient is φ = 10201034442336.

The previous prime is 10201034442227. The next prime is 10201034442371. The reversal of 10201034442337 is 73324443010201.

It is an a-pointer prime, because the next prime (10201034442371) can be obtained adding 10201034442337 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836118898721 + 1364915543616 = 2972561^2 + 1168296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201034442337 is a prime.

It is a super-2 number, since 2×10201034442337² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201034448337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100517221168 + 5100517221169.

It is an arithmetic number, because the mean of its divisors is an integer number (5100517221169).

Almost surely, 2^{10201034442337} is an apocalyptic number.

It is an amenable number.

10201034442337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201034442337 is an equidigital number, since it uses as much as digits as its factorization.

10201034442337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 10201034442337 its reverse (73324443010201), we get a palindrome (83525477452538).

The spelling of 10201034442337 in words is "ten trillion, two hundred one billion, thirty-four million, four hundred forty-two thousand, three hundred thirty-seven".