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106220106101 is a prime number
BaseRepresentation
bin110001011101100110…
…1100011000101110101
3101011011122212110201202
41202323031203011311
53220014321343401
6120444041302245
710450143001424
oct1427315430565
9334148773652
10106220106101
114105853195a
1218704a94985
13a02a3822b5
1451d91a72bb
152b6a34e06b
hex18bb363175

106220106101 has 2 divisors, whose sum is σ = 106220106102. Its totient is φ = 106220106100.

The previous prime is 106220106089. The next prime is 106220106103. The reversal of 106220106101 is 101601022601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106139124100 + 80982001 = 325790^2 + 8999^2 .

It is a cyclic number.

It is not a de Polignac number, because 106220106101 - 26 = 106220106037 is a prime.

It is a super-2 number, since 2×1062201061012 (a number of 23 digits) contains 22 as substring.

Together with 106220106103, 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 (106220106103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53110053050 + 53110053051.

It is an arithmetic number, because the mean of its divisors is an integer number (53110053051).

Almost surely, 2106220106101 is an apocalyptic number.

It is an amenable number.

106220106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106220106101 is an equidigital number, since it uses as much as digits as its factorization.

106220106101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 106220106101 its reverse (101601022601), we get a palindrome (207821128702).

The spelling of 106220106101 in words is "one hundred six billion, two hundred twenty million, one hundred six thousand, one hundred one".