10210310311221 has 12 divisors (see below), whose sum is σ = 14748282468972. Its totient is φ = 6806847480576.

The previous prime is 10210310311213. The next prime is 10210310311247. The reversal of 10210310311221 is 12211301301201.

10210310311221 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 310 + 311 + 2 + 21 = 666.

10210310311221 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 2 ways, for example, as 3988707980625 + 6221602330596 = 1997175^2 + 2494314^2 .

It is not a de Polignac number, because 10210310311221 - 2³ = 10210310311213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210310311194 and 10210310311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210310311321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480115 + ... + 4544351.

It is an arithmetic number, because the mean of its divisors is an integer number (1229023539081).

Almost surely, 2^{10210310311221} is an apocalyptic number.

It is an amenable number.

10210310311221 is a deficient number, since it is larger than the sum of its proper divisors (4537972157751).

10210310311221 is a wasteful number, since it uses less digits than its factorization.

10210310311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343380 (or 4343377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10210310311221 its reverse (12211301301201), we get a palindrome (22421611612422).

The spelling of 10210310311221 in words is "ten trillion, two hundred ten billion, three hundred ten million, three hundred eleven thousand, two hundred twenty-one".