Search a number
-
+
2221002101 is a prime number
BaseRepresentation
bin1000010001100001…
…1100110101110101
312201210012121010002
42010120130311311
514022034031401
61004215441045
7106016130533
oct20430346565
95653177102
102221002101
11a3a77482a
1251b986185
132951a5c36
14170d87153
15ceeb9a6b
hex8461cd75

2221002101 has 2 divisors, whose sum is σ = 2221002102. Its totient is φ = 2221002100.

The previous prime is 2221002097. The next prime is 2221002127. The reversal of 2221002101 is 1012001222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2055262225 + 165739876 = 45335^2 + 12874^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221002101 - 22 = 2221002097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221002181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110501050 + 1110501051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110501051).

Almost surely, 22221002101 is an apocalyptic number.

It is an amenable number.

2221002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221002101 is an equidigital number, since it uses as much as digits as its factorization.

2221002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2221002101 is about 47127.5089623884. The cubic root of 2221002101 is about 1304.7170060114.

Adding to 2221002101 its reverse (1012001222), we get a palindrome (3233003323).

The spelling of 2221002101 in words is "two billion, two hundred twenty-one million, two thousand, one hundred one".