10201211401301 has 32 divisors (see below), whose sum is σ = 10511294508000. Its totient is φ = 9896174346240.

The previous prime is 10201211401267. The next prime is 10201211401309. The reversal of 10201211401301 is 10310411210201.

10201211401301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1808080933201 + 8393130468100 = 1344649^2 + 2897090^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201211401301 - 2¹⁰ = 10201211400277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201211401301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201211401309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171030845 + ... + 3171034061.

It is an arithmetic number, because the mean of its divisors is an integer number (328477953375).

Almost surely, 2^{10201211401301} is an apocalyptic number.

It is an amenable number.

10201211401301 is a deficient number, since it is larger than the sum of its proper divisors (310083106699).

10201211401301 is a wasteful number, since it uses less digits than its factorization.

10201211401301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10201211401301 its reverse (10310411210201), we get a palindrome (20511622611502).

The spelling of 10201211401301 in words is "ten trillion, two hundred one billion, two hundred eleven million, four hundred one thousand, three hundred one".