Search a number
-
+
212201001102121 is a prime number
BaseRepresentation
bin110000001111111011100101…
…010010101010101100101001
31000211100012212121202002210121
4300033323211102222230221
5210303200122240231441
62031151443310443241
762461005424445233
oct6017734522525451
91024305777662717
10212201001102121
1161682a37065179
121b971b85b03521
139153612502645
143a5882463b253
15197ec7d281dd1
hexc0fee54aab29

212201001102121 has 2 divisors, whose sum is σ = 212201001102122. Its totient is φ = 212201001102120.

The previous prime is 212201001102119. The next prime is 212201001102191. The reversal of 212201001102121 is 121201100102212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210721223737600 + 1479777364521 = 14516240^2 + 1216461^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201001102121 - 21 = 212201001102119 is a prime.

Together with 212201001102119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212201001102095 and 212201001102104.

It is not a weakly prime, because it can be changed into another prime (212201001102191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100500551060 + 106100500551061.

It is an arithmetic number, because the mean of its divisors is an integer number (106100500551061).

Almost surely, 2212201001102121 is an apocalyptic number.

It is an amenable number.

212201001102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201001102121 is an equidigital number, since it uses as much as digits as its factorization.

212201001102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212201001102121 its reverse (121201100102212), we get a palindrome (333402101204333).

Subtracting from 212201001102121 its reverse (121201100102212), we obtain a palindrome (90999900999909).

The spelling of 212201001102121 in words is "two hundred twelve trillion, two hundred one billion, one million, one hundred two thousand, one hundred twenty-one".