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42101 is a prime number
BaseRepresentation
bin1010010001110101
32010202022
422101311
52321401
6522525
7233513
oct122165
963668
1042101
11296a4
1220445
1316217
14114b3
15c71b
hexa475

42101 has 2 divisors, whose sum is σ = 42102. Its totient is φ = 42100.

The previous prime is 42089. The next prime is 42131. The reversal of 42101 is 10124.

42101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 2500 = 199^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 42101 - 210 = 41077 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21050 + 21051.

It is an arithmetic number, because the mean of its divisors is an integer number (21051).

242101 is an apocalyptic number.

It is an amenable number.

42101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42101 is an equidigital number, since it uses as much as digits as its factorization.

42101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 42101 is about 205.1852821233. The cubic root of 42101 is about 34.7881075319.

Adding to 42101 its reverse (10124), we get a palindrome (52225).

The spelling of 42101 in words is "forty-two thousand, one hundred one", and thus it is an iban number.