Search a number
-
+
12101 is a prime number
BaseRepresentation
bin10111101000101
3121121012
42331011
5341401
6132005
750165
oct27505
917535
1012101
119101
127005
13567b
1445a5
1538bb
hex2f45

12101 has 2 divisors, whose sum is σ = 12102. Its totient is φ = 12100.

The previous prime is 12097. The next prime is 12107. The reversal of 12101 is 10121.

Adding to 12101 its reverse (10121), we get a palindrome (22222).

Multipling 12101 by its reverse (10121), we get a palindrome (122474221).

It is a happy number.

It is a Cunningham number, because it is equal to 1102+1.

12101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 1 = 110^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101 - 22 = 12097 is a prime.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050 + 6051.

It is an arithmetic number, because the mean of its divisors is an integer number (6051).

12101 is a Friedman number, since it can be written as 110^2+1, using all its digits and the basic arithmetic operations.

212101 is an apocalyptic number.

It is an amenable number.

12101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101 is an equidigital number, since it uses as much as digits as its factorization.

12101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 12101 is about 110.0045453606. The cubic root of 12101 is about 22.9583366729.

The spelling of 12101 in words is "twelve thousand, one hundred one", and thus it is an iban number.