Search a number
-
+
10101011010109 is a prime number
BaseRepresentation
bin1001001011111101001100…
…1011000101001000111101
31022202122110211021020012221
42102333103023011020331
52310443332304310414
633252201305325341
72061526316641165
oct222772313051075
938678424236187
1010101011010109
1132448a6422a68
121171788196851
135836a125b6a6
1426cc6a5655a5
15127b3ccd6224
hex92fd32c523d

10101011010109 has 2 divisors, whose sum is σ = 10101011010110. Its totient is φ = 10101011010108.

The previous prime is 10101011010073. The next prime is 10101011010157. The reversal of 10101011010109 is 90101011010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8607164837209 + 1493846172900 = 2933797^2 + 1222230^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101011010109 - 27 = 10101011009981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101011010092 and 10101011010101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101011010179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505505054 + 5050505505055.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505505055).

Almost surely, 210101011010109 is an apocalyptic number.

It is an amenable number.

10101011010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101011010109 is an equidigital number, since it uses as much as digits as its factorization.

10101011010109 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 10101011010109 in words is "ten trillion, one hundred one billion, eleven million, ten thousand, one hundred nine".