10211311103201 has 8 divisors (see below), whose sum is σ = 11000645683944. Its totient is φ = 9422526395520.

The previous prime is 10211311103111. The next prime is 10211311103209. The reversal of 10211311103201 is 10230111311201.

It can be written as a sum of positive squares in 4 ways, for example, as 132114802576 + 10079196300625 = 363476^2 + 3174775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211311103201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211311103201.

It is not an unprimeable number, because it can be changed into a prime (10211311103209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137429690 + ... + 137503971.

It is an arithmetic number, because the mean of its divisors is an integer number (1375080710493).

Almost surely, 2^{10211311103201} is an apocalyptic number.

It is an amenable number.

10211311103201 is a deficient number, since it is larger than the sum of its proper divisors (789334580743).

10211311103201 is a wasteful number, since it uses less digits than its factorization.

10211311103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274936531.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10211311103201 its reverse (10230111311201), we get a palindrome (20441422414402).

The spelling of 10211311103201 in words is "ten trillion, two hundred eleven billion, three hundred eleven million, one hundred three thousand, two hundred one".