10416350056201 has 2 divisors, whose sum is σ = 10416350056202. Its totient is φ = 10416350056200.

The previous prime is 10416350056199. The next prime is 10416350056253. The reversal of 10416350056201 is 10265005361401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9598229806201 + 818120250000 = 3098101^2 + 904500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10416350056201 - 2¹ = 10416350056199 is a prime.

It is a super-3 number, since 3×10416350056201³ (a number of 40 digits) contains 333 as substring.

Together with 10416350056199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10416350056601) 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, 5208175028100 + 5208175028101.

It is an arithmetic number, because the mean of its divisors is an integer number (5208175028101).

Almost surely, 2^{10416350056201} is an apocalyptic number.

It is an amenable number.

10416350056201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10416350056201 is an equidigital number, since it uses as much as digits as its factorization.

10416350056201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 10416350056201 in words is "ten trillion, four hundred sixteen billion, three hundred fifty million, fifty-six thousand, two hundred one".