Search a number
-
+
110100122221 is a prime number
BaseRepresentation
bin110011010001001111…
…0101000101001101101
3101112012001210201020111
41212202132220221231
53300441112402341
6122325043420021
710645245411655
oct1464236505155
9345161721214
10110100122221
1142769715451
1219408384611
13a4c818421b
145486607365
152ce5cc3681
hex19a27a8a6d

110100122221 has 2 divisors, whose sum is σ = 110100122222. Its totient is φ = 110100122220.

The previous prime is 110100122219. The next prime is 110100122233. The reversal of 110100122221 is 122221001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108191655625 + 1908466596 = 328925^2 + 43686^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100122221 - 21 = 110100122219 is a prime.

Together with 110100122219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050061110 + 55050061111.

It is an arithmetic number, because the mean of its divisors is an integer number (55050061111).

Almost surely, 2110100122221 is an apocalyptic number.

It is an amenable number.

110100122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100122221 is an equidigital number, since it uses as much as digits as its factorization.

110100122221 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 110100122221 its reverse (122221001011), we get a palindrome (232321123232).

The spelling of 110100122221 in words is "one hundred ten billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-one".