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11000110100101 is a prime number
BaseRepresentation
bin1010000000010010100110…
…1001111010111010000101
31102221121012120211100020221
42200010221221322322011
52420211211141200401
635221214131224341
72213505661053013
oct240045151727205
942847176740227
1011000110100101
113561136419831
121297a8a7480b1
1361a3c9192b45
142a05a00358b3
151412111a67a1
hexa0129a7ae85

11000110100101 has 2 divisors, whose sum is σ = 11000110100102. Its totient is φ = 11000110100100.

The previous prime is 11000110100069. The next prime is 11000110100123. The reversal of 11000110100101 is 10100101100011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8858951007201 + 2141159092900 = 2976399^2 + 1463270^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000110100101 - 25 = 11000110100069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000110100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500055050050 + 5500055050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5500055050051).

Almost surely, 211000110100101 is an apocalyptic number.

It is an amenable number.

11000110100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000110100101 is an equidigital number, since it uses as much as digits as its factorization.

11000110100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000110100101 its reverse (10100101100011), we get a palindrome (21100211200112).

The spelling of 11000110100101 in words is "eleven trillion, one hundred ten million, one hundred thousand, one hundred one".