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1101010101109 is a prime number
BaseRepresentation
bin10000000001011001010…
…100001110001101110101
310220020220021202012221221
4100001121110032031311
5121014332041213414
62201444055310341
7142355025305512
oct20013124161565
93806807665857
101101010101109
11394a325539a6
1215947207b3b1
137ca95141039
143b4096c4309
151d98e4ca224
hex1005950e375

1101010101109 has 2 divisors, whose sum is σ = 1101010101110. Its totient is φ = 1101010101108.

The previous prime is 1101010101101. The next prime is 1101010101127. The reversal of 1101010101109 is 9011010101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1068283482084 + 32726619025 = 1033578^2 + 180905^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101010101109 - 23 = 1101010101101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101010101092 and 1101010101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101010101101) 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, 550505050554 + 550505050555.

It is an arithmetic number, because the mean of its divisors is an integer number (550505050555).

Almost surely, 21101010101109 is an apocalyptic number.

It is an amenable number.

1101010101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101010101109 is an equidigital number, since it uses as much as digits as its factorization.

1101010101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 1101010101109 in words is "one trillion, one hundred one billion, ten million, one hundred one thousand, one hundred nine".