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102120222121 is a prime number
BaseRepresentation
bin101111100011011010…
…1101110110110101001
3100202120221012210012221
41133012311232312221
53133120234101441
6114525142434041
710243430365051
oct1370665566651
9322527183187
10102120222121
113a344226395
121795ba32921
139825b5ab48
144d2a892561
1529ca4488d1
hex17c6d6eda9

102120222121 has 2 divisors, whose sum is σ = 102120222122. Its totient is φ = 102120222120.

The previous prime is 102120222119. The next prime is 102120222221. The reversal of 102120222121 is 121222021201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100765614096 + 1354608025 = 317436^2 + 36805^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120222121 - 21 = 102120222119 is a prime.

Together with 102120222119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102120222095 and 102120222104.

It is not a weakly prime, because it can be changed into another prime (102120222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060111060 + 51060111061.

It is an arithmetic number, because the mean of its divisors is an integer number (51060111061).

Almost surely, 2102120222121 is an apocalyptic number.

It is an amenable number.

102120222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120222121 is an equidigital number, since it uses as much as digits as its factorization.

102120222121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120222121 its reverse (121222021201), we get a palindrome (223342243322).

The spelling of 102120222121 in words is "one hundred two billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".