Search a number
-
+
321020102101 is a prime number
BaseRepresentation
bin1001010101111100100…
…10100000010111010101
31010200121102221212000011
410222332102200113111
520224422121231401
6403250302520221
732123114563006
oct4527622402725
91120542855004
10321020102101
1111416452a106
1252270b96071
132436c96144a
1411774ac91ad
15853cc7c451
hex4abe4a05d5

321020102101 has 2 divisors, whose sum is σ = 321020102102. Its totient is φ = 321020102100.

The previous prime is 321020102099. The next prime is 321020102107. The reversal of 321020102101 is 101201020123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230870640100 + 90149462001 = 480490^2 + 300249^2 .

It is a cyclic number.

It is not a de Polignac number, because 321020102101 - 21 = 321020102099 is a prime.

It is a super-2 number, since 2×3210201021012 (a number of 24 digits) contains 22 as substring.

Together with 321020102099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321020102107) 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, 160510051050 + 160510051051.

It is an arithmetic number, because the mean of its divisors is an integer number (160510051051).

Almost surely, 2321020102101 is an apocalyptic number.

It is an amenable number.

321020102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

321020102101 is an equidigital number, since it uses as much as digits as its factorization.

321020102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 321020102101 its reverse (101201020123), we get a palindrome (422221122224).

The spelling of 321020102101 in words is "three hundred twenty-one billion, twenty million, one hundred two thousand, one hundred one".