10103220322337 has 2 divisors, whose sum is σ = 10103220322338. Its totient is φ = 10103220322336.

The previous prime is 10103220322319. The next prime is 10103220322339. The reversal of 10103220322337 is 73322302230101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10085680233616 + 17540088721 = 3175796^2 + 132439^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103220322337 - 2³⁸ = 9828342415393 is a prime.

It is a super-2 number, since 2×10103220322337² (a number of 27 digits) contains 22 as substring.

Together with 10103220322339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10103220322339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051610161168 + 5051610161169.

It is an arithmetic number, because the mean of its divisors is an integer number (5051610161169).

Almost surely, 2^{10103220322337} is an apocalyptic number.

It is an amenable number.

10103220322337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103220322337 is an equidigital number, since it uses as much as digits as its factorization.

10103220322337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 29.

Adding to 10103220322337 its reverse (73322302230101), we get a palindrome (83425522552438).

The spelling of 10103220322337 in words is "ten trillion, one hundred three billion, two hundred twenty million, three hundred twenty-two thousand, three hundred thirty-seven".