Search a number
-
+
101101202201 is a prime number
BaseRepresentation
bin101111000101000011…
…0011110101100011001
3100122221220202012200102
41132022012132230121
53124023401432301
6114240101345145
710206245016356
oct1361206365431
9318856665612
10101101202201
1139970aa166a
12177167081b5
1396c29c168c
144c713d362d
15296ac5bb6b
hex178a19eb19

101101202201 has 2 divisors, whose sum is σ = 101101202202. Its totient is φ = 101101202200.

The previous prime is 101101202149. The next prime is 101101202203. The reversal of 101101202201 is 102202101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96571777600 + 4529424601 = 310760^2 + 67301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101202201 - 222 = 101097007897 is a prime.

It is a Sophie Germain prime.

Together with 101101202203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101101202203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550601100 + 50550601101.

It is an arithmetic number, because the mean of its divisors is an integer number (50550601101).

Almost surely, 2101101202201 is an apocalyptic number.

It is an amenable number.

101101202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101202201 is an equidigital number, since it uses as much as digits as its factorization.

101101202201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101101202201 its reverse (102202101101), we get a palindrome (203303303302).

The spelling of 101101202201 in words is "one hundred one billion, one hundred one million, two hundred two thousand, two hundred one".