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102022220221 is a prime number
BaseRepresentation
bin101111100000011111…
…1111000100110111101
3100202100002210202212221
41133000333320212331
53132420142021341
6114511322125341
710241130364165
oct1370077704675
9322302722787
10102022220221
113a2a397a089
1217933050851
13980b76695c
144d1b8615a5
1529c1a3aed1
hex17c0ff89bd

102022220221 has 2 divisors, whose sum is σ = 102022220222. Its totient is φ = 102022220220.

The previous prime is 102022220219. The next prime is 102022220227. The reversal of 102022220221 is 122022220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51808132996 + 50214087225 = 227614^2 + 224085^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022220221 - 21 = 102022220219 is a prime.

Together with 102022220219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102022220195 and 102022220204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102022220227) 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, 51011110110 + 51011110111.

It is an arithmetic number, because the mean of its divisors is an integer number (51011110111).

Almost surely, 2102022220221 is an apocalyptic number.

It is an amenable number.

102022220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022220221 is an equidigital number, since it uses as much as digits as its factorization.

102022220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102022220221 its reverse (122022220201), we get a palindrome (224044440422).

The spelling of 102022220221 in words is "one hundred two billion, twenty-two million, two hundred twenty thousand, two hundred twenty-one".