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11122101121 is a prime number
BaseRepresentation
bin10100101101110110…
…11100101110000001
31001201010012021111011
422112323130232001
5140234224213441
65035345120521
7542421204535
oct122673345601
931633167434
1011122101121
11479815520a
1221a4929141
131083308a31
147771b5bc5
1545165c581
hex296edcb81

11122101121 has 2 divisors, whose sum is σ = 11122101122. Its totient is φ = 11122101120.

The previous prime is 11122101101. The next prime is 11122101187. The reversal of 11122101121 is 12110122111.

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., 10575242896 + 546858225 = 102836^2 + 23385^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122101121 - 233 = 2532166529 is a prime.

It is a super-2 number, since 2×111221011212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11122101101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561050560 + 5561050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5561050561).

Almost surely, 211122101121 is an apocalyptic number.

It is an amenable number.

11122101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122101121 is an equidigital number, since it uses as much as digits as its factorization.

11122101121 is an evil number, because the sum of its binary digits is even.

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

Adding to 11122101121 its reverse (12110122111), we get a palindrome (23232223232).

The spelling of 11122101121 in words is "eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".