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110110221101 is a prime number
BaseRepresentation
bin110011010001100010…
…1001010001100101101
3101112012202210210022002
41212203011022030231
53301001204033401
6122330044102045
710645430302526
oct1464305121455
9345182723262
10110110221101
1142774392931
121940b834925
13a4ca2abaaa
145487ab584d
152ce6b1aa6b
hex19a314a32d

110110221101 has 2 divisors, whose sum is σ = 110110221102. Its totient is φ = 110110221100.

The previous prime is 110110221097. The next prime is 110110221121. The reversal of 110110221101 is 101122011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85908196201 + 24202024900 = 293101^2 + 155570^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110221101 - 22 = 110110221097 is a prime.

It is a super-2 number, since 2×1101102211012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110221121) 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, 55055110550 + 55055110551.

It is an arithmetic number, because the mean of its divisors is an integer number (55055110551).

Almost surely, 2110110221101 is an apocalyptic number.

It is an amenable number.

110110221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110221101 is an equidigital number, since it uses as much as digits as its factorization.

110110221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110110221101 its reverse (101122011011), we get a palindrome (211232232112).

The spelling of 110110221101 in words is "one hundred ten billion, one hundred ten million, two hundred twenty-one thousand, one hundred one".