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101665512161 is a prime number
BaseRepresentation
bin101111010101110111…
…1001001101011100001
3100201102020121010102022
41132223233021223201
53131202332342121
6114412100431225
710226236411043
oct1365357115341
9321366533368
10101665512161
113a130593034
12178536a8515
1397828a23b5
144cc6329a93
1529a0579aab
hex17abbc9ae1

101665512161 has 2 divisors, whose sum is σ = 101665512162. Its totient is φ = 101665512160.

The previous prime is 101665512133. The next prime is 101665512163. The reversal of 101665512161 is 161215566101.

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., 86579531536 + 15085980625 = 294244^2 + 122825^2 .

It is a cyclic number.

It is not a de Polignac number, because 101665512161 - 234 = 84485642977 is a prime.

Together with 101665512163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101665512163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50832756080 + 50832756081.

It is an arithmetic number, because the mean of its divisors is an integer number (50832756081).

Almost surely, 2101665512161 is an apocalyptic number.

It is an amenable number.

101665512161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101665512161 is an equidigital number, since it uses as much as digits as its factorization.

101665512161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 101665512161 in words is "one hundred one billion, six hundred sixty-five million, five hundred twelve thousand, one hundred sixty-one".