10211122102221 has 12 divisors (see below), whose sum is σ = 15148030986972. Its totient is φ = 6623430552576.

The previous prime is 10211122102211. The next prime is 10211122102241. The reversal of 10211122102221 is 12220122111201.

10211122102221 is a `hidden beast` number, since 10 + 211 + 1 + 221 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7709568645321 + 2501553456900 = 2776611^2 + 1581630^2 .

It is not a de Polignac number, because 10211122102221 - 2⁵ = 10211122102189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10211122102194 and 10211122102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211122102211) 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, 15332014836 + ... + 15332015501.

It is an arithmetic number, because the mean of its divisors is an integer number (1262335915581).

Almost surely, 2^{10211122102221} is an apocalyptic number.

It is an amenable number.

10211122102221 is a deficient number, since it is larger than the sum of its proper divisors (4936908884751).

10211122102221 is a wasteful number, since it uses less digits than its factorization.

10211122102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30664030380 (or 30664030377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211122102221 its reverse (12220122111201), we get a palindrome (22431244213422).

The spelling of 10211122102221 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".