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110122201121 is a prime number
BaseRepresentation
bin110011010001111001…
…0110111000000100001
3101112020121100102210112
41212203302313000201
53301012240413441
6122331152541105
710645634156642
oct1464362670041
9345217312715
10110122201121
1142780125679
1219413851795
13a4cc91496a
1454895136c9
152ce7bd54eb
hex19a3cb7021

110122201121 has 2 divisors, whose sum is σ = 110122201122. Its totient is φ = 110122201120.

The previous prime is 110122201097. The next prime is 110122201187. The reversal of 110122201121 is 121102221011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103539150625 + 6583050496 = 321775^2 + 81136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110122201121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110122201096 and 110122201105.

It is not a weakly prime, because it can be changed into another prime (110122201421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061100560 + 55061100561.

It is an arithmetic number, because the mean of its divisors is an integer number (55061100561).

Almost surely, 2110122201121 is an apocalyptic number.

It is an amenable number.

110122201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122201121 is an equidigital number, since it uses as much as digits as its factorization.

110122201121 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 14.

Adding to 110122201121 its reverse (121102221011), we get a palindrome (231224422132).

The spelling of 110122201121 in words is "one hundred ten billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".