13200222100221 has 112 divisors (see below), whose sum is σ = 21763515678576. Its totient is φ = 7953398304768.

The previous prime is 13200222100217. The next prime is 13200222100237. The reversal of 13200222100221 is 12200122200231.

13200222100221 is a `hidden beast` number, since 1 + 320 + 0 + 2 + 22 + 100 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 764802720900 + 12435419379321 = 874530^2 + 3526389^2 .

It is not a de Polignac number, because 13200222100221 - 2² = 13200222100217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13200222100194 and 13200222100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200222100291) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94709841 + ... + 94849113.

It is an arithmetic number, because the mean of its divisors is an integer number (194317104273).

Almost surely, 2^{13200222100221} is an apocalyptic number.

It is an amenable number.

13200222100221 is a deficient number, since it is larger than the sum of its proper divisors (8563293578355).

13200222100221 is a wasteful number, since it uses less digits than its factorization.

13200222100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139514 (or 139499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13200222100221 its reverse (12200122200231), we get a palindrome (25400344300452).

It can be divided in two parts, 1320022 and 2100221, that added together give a palindrome (3420243).

The spelling of 13200222100221 in words is "thirteen trillion, two hundred billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".