Search a number
-
+
1100221000201 is a prime number
BaseRepresentation
bin10000000000101010010…
…010000010101000001001
310220011212021220202000101
4100000222102002220021
5121011223034001301
62201233510205401
7142326334125001
oct20005222025011
93804767822011
101100221000201
11394668087794
12159291953861
137c99a80601b
143b372995001
151d9450a7701
hex1002a482a09

1100221000201 has 2 divisors, whose sum is σ = 1100221000202. Its totient is φ = 1100221000200.

The previous prime is 1100221000163. The next prime is 1100221000213. The reversal of 1100221000201 is 1020001220011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 769479840000 + 330741160201 = 877200^2 + 575101^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100221000201 - 213 = 1100220992009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100221000231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550110500100 + 550110500101.

It is an arithmetic number, because the mean of its divisors is an integer number (550110500101).

Almost surely, 21100221000201 is an apocalyptic number.

It is an amenable number.

1100221000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100221000201 is an equidigital number, since it uses as much as digits as its factorization.

1100221000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100221000201 its reverse (1020001220011), we get a palindrome (2120222220212).

The spelling of 1100221000201 in words is "one trillion, one hundred billion, two hundred twenty-one million, two hundred one", and thus it is an aban number.