Search a number
-
+
212111120021201 is a prime number
BaseRepresentation
bin110000001110100111110111…
…111101100011011011010001
31000211000121212122122002222122
4300032213313331203123101
5210300212033211134301
62031042300415144025
762451344201041442
oct6016476775433321
91024017778562878
10212111120021201
1161648903587815
121b958680b15015
139147cba2192ab
143a543394572c9
15197c76c59581b
hexc0e9f7f636d1

212111120021201 has 2 divisors, whose sum is σ = 212111120021202. Its totient is φ = 212111120021200.

The previous prime is 212111120021189. The next prime is 212111120021393. The reversal of 212111120021201 is 102120021111212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118579010581201 + 93532109440000 = 10889399^2 + 9671200^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111120021201 - 242 = 207713073510097 is a prime.

It is a super-2 number, since 2×2121111200212012 (a number of 29 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 212111120021201.

It is not a weakly prime, because it can be changed into another prime (212111120021401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055560010600 + 106055560010601.

It is an arithmetic number, because the mean of its divisors is an integer number (106055560010601).

Almost surely, 2212111120021201 is an apocalyptic number.

It is an amenable number.

212111120021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111120021201 is an equidigital number, since it uses as much as digits as its factorization.

212111120021201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212111120021201 its reverse (102120021111212), we get a palindrome (314231141132413).

The spelling of 212111120021201 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twenty million, twenty-one thousand, two hundred one".