Search a number
-
+
212101110111221 is a prime number
BaseRepresentation
bin110000001110011110100011…
…010100110001101111110101
31000210222200001001012222220222
4300032132203110301233311
5210300031033142024341
62031033523240104125
762450541143153432
oct6016364324615765
91023880031188828
10212101110111221
1161644637214241
121b956748765045
13914708346c236
143a53a69c74b89
15197c3838cb44b
hexc0e7a3531bf5

212101110111221 has 2 divisors, whose sum is σ = 212101110111222. Its totient is φ = 212101110111220.

The previous prime is 212101110111203. The next prime is 212101110111227. The reversal of 212101110111221 is 122111011101212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197817895800625 + 14283214310596 = 14064775^2 + 3779314^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101110111221 - 26 = 212101110111157 is a prime.

It is a super-2 number, since 2×2121011101112212 (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 212101110111221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212101110111227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050555055610 + 106050555055611.

It is an arithmetic number, because the mean of its divisors is an integer number (106050555055611).

Almost surely, 2212101110111221 is an apocalyptic number.

It is an amenable number.

212101110111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101110111221 is an equidigital number, since it uses as much as digits as its factorization.

212101110111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 212101110111221 its reverse (122111011101212), we get a palindrome (334212121212433).

The spelling of 212101110111221 in words is "two hundred twelve trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, two hundred twenty-one".