Search a number
-
+
121100212110217 is a prime number
BaseRepresentation
bin11011100010001111010111…
…001000000000001110001001
3120212210001210222222010012011
4123202033113020000032021
5111333101213300011332
61105320400332415521
734336126101624634
oct3342172710001611
9525701728863164
10121100212110217
113564a3477297aa
12116ba0480175a1
13527591613c442
1421c93d278cc1b
15e00163a53e47
hex6e23d7200389

121100212110217 has 2 divisors, whose sum is σ = 121100212110218. Its totient is φ = 121100212110216.

The previous prime is 121100212110203. The next prime is 121100212110223. The reversal of 121100212110217 is 712011212001121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110682687701056 + 10417524409161 = 10520584^2 + 3227619^2 .

It is an emirp because it is prime and its reverse (712011212001121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121100212110217 - 239 = 120550456296329 is a prime.

It is a super-2 number, since 2×1211002121102172 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121100212110817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550106055108 + 60550106055109.

It is an arithmetic number, because the mean of its divisors is an integer number (60550106055109).

Almost surely, 2121100212110217 is an apocalyptic number.

It is an amenable number.

121100212110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100212110217 is an equidigital number, since it uses as much as digits as its factorization.

121100212110217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 121100212110217 its reverse (712011212001121), we get a palindrome (833111424111338).

The spelling of 121100212110217 in words is "one hundred twenty-one trillion, one hundred billion, two hundred twelve million, one hundred ten thousand, two hundred seventeen".