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2201121102221 is a prime number
BaseRepresentation
bin100000000001111101000…
…010101001100110001101
321210102110220200102120222
4200001331002221212031
5242030344000232341
64403103040121125
7315011555444456
oct40017502514615
97712426612528
102201121102221
1177954352a748
122b67130061a5
1312c745c12232
147876b80412d
153c3c9aa544b
hex2007d0a998d

2201121102221 has 2 divisors, whose sum is σ = 2201121102222. Its totient is φ = 2201121102220.

The previous prime is 2201121102217. The next prime is 2201121102241. The reversal of 2201121102221 is 1222011211022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1738059906025 + 463061196196 = 1318355^2 + 680486^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201121102221 - 22 = 2201121102217 is a prime.

It is a super-2 number, since 2×22011211022212 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2201121102221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201121102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100560551110 + 1100560551111.

It is an arithmetic number, because the mean of its divisors is an integer number (1100560551111).

Almost surely, 22201121102221 is an apocalyptic number.

It is an amenable number.

2201121102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201121102221 is an equidigital number, since it uses as much as digits as its factorization.

2201121102221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2201121102221 its reverse (1222011211022), we get a palindrome (3423132313243).

The spelling of 2201121102221 in words is "two trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty-one".