Search a number
-
+
2221022212121 is a prime number
BaseRepresentation
bin100000010100011111001…
…111010111000000011001
321212022211212010120010102
4200110133033113000121
5242342123141241441
64420153514025145
7316315000211156
oct40243717270031
97768755116112
102221022212121
11786a26156109
122ba547a181b5
13131597c745cb
14796d890722d
153cb91cda69b
hex2051f3d7019

2221022212121 has 2 divisors, whose sum is σ = 2221022212122. Its totient is φ = 2221022212120.

The previous prime is 2221022212111. The next prime is 2221022212127. The reversal of 2221022212121 is 1212122201222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1979930410000 + 241091802121 = 1407100^2 + 491011^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221022212121 - 218 = 2221021949977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221022212093 and 2221022212102.

It is not a weakly prime, because it can be changed into another prime (2221022212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110511106060 + 1110511106061.

It is an arithmetic number, because the mean of its divisors is an integer number (1110511106061).

Almost surely, 22221022212121 is an apocalyptic number.

It is an amenable number.

2221022212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221022212121 is an equidigital number, since it uses as much as digits as its factorization.

2221022212121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2221022212121 its reverse (1212122201222), we get a palindrome (3433144413343).

The spelling of 2221022212121 in words is "two trillion, two hundred twenty-one billion, twenty-two million, two hundred twelve thousand, one hundred twenty-one".