220100221121201 has 2 divisors, whose sum is σ = 220100221121202. Its totient is φ = 220100221121200.

The previous prime is 220100221121161. The next prime is 220100221121239. The reversal of 220100221121201 is 102121122001022.

220100221121201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118468095333025 + 101632125788176 = 10884305^2 + 10081276^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100221121201 - 2¹⁰ = 220100221120177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220100221121201.

It is not a weakly prime, because it can be changed into another prime (220100221181201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110050110560600 + 110050110560601.

It is an arithmetic number, because the mean of its divisors is an integer number (110050110560601).

Almost surely, 2^{220100221121201} is an apocalyptic number.

It is an amenable number.

220100221121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100221121201 is an equidigital number, since it uses as much as digits as its factorization.

220100221121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220100221121201 its reverse (102121122001022), we get a palindrome (322221343122223).

The spelling of 220100221121201 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred one".