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11002212101 is a prime number
BaseRepresentation
bin10100011111100100…
…00110111100000101
31001101202121021200002
422033302012330011
5140013031241401
65015423331045
7536434155056
oct121762067405
931352537602
1011002212101
114736509881
122170750a85
13106452049a
147652c872d
15445d79a6b
hex28fc86f05

11002212101 has 2 divisors, whose sum is σ = 11002212102. Its totient is φ = 11002212100.

The previous prime is 11002212097. The next prime is 11002212103. The reversal of 11002212101 is 10121220011.

11002212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9791102500 + 1211109601 = 98950^2 + 34801^2 .

It is a cyclic number.

It is not a de Polignac number, because 11002212101 - 22 = 11002212097 is a prime.

It is a super-2 number, since 2×110022121012 (a number of 21 digits) contains 22 as substring.

Together with 11002212103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11002212103) 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, 5501106050 + 5501106051.

It is an arithmetic number, because the mean of its divisors is an integer number (5501106051).

Almost surely, 211002212101 is an apocalyptic number.

It is an amenable number.

11002212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002212101 is an equidigital number, since it uses as much as digits as its factorization.

11002212101 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 11.

Adding to 11002212101 its reverse (10121220011), we get a palindrome (21123432112).

The spelling of 11002212101 in words is "eleven billion, two million, two hundred twelve thousand, one hundred one".