Search a number
-
+
12221201000101 is a prime number
BaseRepresentation
bin1011000111010111100001…
…0110000010011010100101
31121021100001111210011221211
42301311320112002122211
53100213004424000401
641554201531111421
72400644516335312
oct261657026023245
947240044704854
1012221201000101
113991a893a4195
1214546735a2571
136a85ba16b122
1430371b695d09
15162d7c797951
hexb1d785826a5

12221201000101 has 2 divisors, whose sum is σ = 12221201000102. Its totient is φ = 12221201000100.

The previous prime is 12221201000087. The next prime is 12221201000117. The reversal of 12221201000101 is 10100010212221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8373071427876 + 3848129572225 = 2893626^2 + 1961665^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221201000101 - 229 = 12220664129189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221201000501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110600500050 + 6110600500051.

It is an arithmetic number, because the mean of its divisors is an integer number (6110600500051).

Almost surely, 212221201000101 is an apocalyptic number.

It is an amenable number.

12221201000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221201000101 is an equidigital number, since it uses as much as digits as its factorization.

12221201000101 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 13.

Adding to 12221201000101 its reverse (10100010212221), we get a palindrome (22321211212322).

The spelling of 12221201000101 in words is "twelve trillion, two hundred twenty-one billion, two hundred one million, one hundred one", and thus it is an aban number.