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11222120211101 is a prime number
BaseRepresentation
bin1010001101001101101001…
…1111010010001010011101
31110201211020212000111220122
42203103122133102022131
52432330400233223401
635511212034324325
72235525412626602
oct243233237221235
943654225014818
1011222120211101
113637302332108
121312b094296a5
1363531a464227
142ab22136a6a9
15146da6aa521b
hexa34da7d229d

11222120211101 has 2 divisors, whose sum is σ = 11222120211102. Its totient is φ = 11222120211100.

The previous prime is 11222120211097. The next prime is 11222120211119. The reversal of 11222120211101 is 10111202122211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11166464323876 + 55655887225 = 3341626^2 + 235915^2 .

It is an emirp because it is prime and its reverse (10111202122211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11222120211101 - 22 = 11222120211097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11222120211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11222120411101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5611060105550 + 5611060105551.

It is an arithmetic number, because the mean of its divisors is an integer number (5611060105551).

Almost surely, 211222120211101 is an apocalyptic number.

It is an amenable number.

11222120211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11222120211101 is an equidigital number, since it uses as much as digits as its factorization.

11222120211101 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 17.

Adding to 11222120211101 its reverse (10111202122211), we get a palindrome (21333322333312).

The spelling of 11222120211101 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, one hundred one".