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10011110100109 is a prime number
BaseRepresentation
bin1001000110101110010010…
…1010010100110010001101
31022110001102110211211000121
42101223210222110302031
52303010223141200414
633143012425024541
72052164432546566
oct221534452246215
938401373754017
1010011110100109
11320a762731738
121158278625151
13578074b21961
1426877c89d16d
1512562a4ce724
hex91ae4a94c8d

10011110100109 has 2 divisors, whose sum is σ = 10011110100110. Its totient is φ = 10011110100108.

The previous prime is 10011110100107. The next prime is 10011110100127. The reversal of 10011110100109 is 90100101111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9264748878025 + 746361222084 = 3043805^2 + 863922^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011110100109 - 21 = 10011110100107 is a prime.

Together with 10011110100107, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10011110100092 and 10011110100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011110100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555050054 + 5005555050055.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555050055).

Almost surely, 210011110100109 is an apocalyptic number.

It is an amenable number.

10011110100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011110100109 is an equidigital number, since it uses as much as digits as its factorization.

10011110100109 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10011110100109 in words is "ten trillion, eleven billion, one hundred ten million, one hundred thousand, one hundred nine".