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110211212101 is a prime number
BaseRepresentation
bin110011010100100011…
…0011010001101000101
3101112110210211122220111
41212221012122031011
53301203032241401
6122344052433021
710651064563114
oct1465106321505
9345423748814
10110211212101
11428163a0971
1219439618771
13a5151ab693
145497283c7b
152d00918e51
hex19a919a345

110211212101 has 2 divisors, whose sum is σ = 110211212102. Its totient is φ = 110211212100.

The previous prime is 110211212081. The next prime is 110211212131. The reversal of 110211212101 is 101212112011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88804596001 + 21406616100 = 298001^2 + 146310^2 .

It is a cyclic number.

It is not a de Polignac number, because 110211212101 - 221 = 110209114949 is a prime.

It is a super-2 number, since 2×1102112121012 (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 (110211212131) 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, 55105606050 + 55105606051.

It is an arithmetic number, because the mean of its divisors is an integer number (55105606051).

Almost surely, 2110211212101 is an apocalyptic number.

It is an amenable number.

110211212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110211212101 is an equidigital number, since it uses as much as digits as its factorization.

110211212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110211212101 its reverse (101212112011), we get a palindrome (211423324112).

The spelling of 110211212101 in words is "one hundred ten billion, two hundred eleven million, two hundred twelve thousand, one hundred one".