Search a number
-
+
102221010077 is a prime number
BaseRepresentation
bin101111100110011011…
…0001101010010011101
3100202211221212100022012
41133030312031102131
53133322034310302
6114543143001005
710246063151354
oct1371466152235
9322757770265
10102221010077
113a39610591a
1217989739165
1398409b91a4
144d3a00a99b
1529d4206a52
hex17ccd8d49d

102221010077 has 2 divisors, whose sum is σ = 102221010078. Its totient is φ = 102221010076.

The previous prime is 102221010007. The next prime is 102221010079. The reversal of 102221010077 is 770010122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102020192836 + 200817241 = 319406^2 + 14171^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221010077 - 210 = 102221009053 is a prime.

Together with 102221010079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221010079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110505038 + 51110505039.

It is an arithmetic number, because the mean of its divisors is an integer number (51110505039).

Almost surely, 2102221010077 is an apocalyptic number.

It is an amenable number.

102221010077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221010077 is an equidigital number, since it uses as much as digits as its factorization.

102221010077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 102221010077 its reverse (770010122201), we get a palindrome (872231132278).

The spelling of 102221010077 in words is "one hundred two billion, two hundred twenty-one million, ten thousand, seventy-seven".