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220100222122201 is a prime number
BaseRepresentation
bin110010000010111000010011…
…100011011111100011011001
31001212022101010220200212212001
4302002320103203133203121
5212322110223330402301
62100040351323321001
764234500454330501
oct6202702343374331
91055271126625761
10220100222122201
1164148a86429153
1220828a93080161
1395a74920b39b5
143c4cc9c602a01
151a6a4a28d8c01
hexc82e138df8d9

220100222122201 has 2 divisors, whose sum is σ = 220100222122202. Its totient is φ = 220100222122200.

The previous prime is 220100222122189. The next prime is 220100222122237. The reversal of 220100222122201 is 102221222001022.

220100222122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153258952848400 + 66841269273801 = 12379780^2 + 8175651^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100222122201 - 25 = 220100222122169 is a prime.

It is not a weakly prime, because it can be changed into another prime (220100222152201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110050111061100 + 110050111061101.

It is an arithmetic number, because the mean of its divisors is an integer number (110050111061101).

Almost surely, 2220100222122201 is an apocalyptic number.

It is an amenable number.

220100222122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100222122201 is an equidigital number, since it uses as much as digits as its factorization.

220100222122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220100222122201 its reverse (102221222001022), we get a palindrome (322321444123223).

The spelling of 220100222122201 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred one".