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101021122229 is a prime number
BaseRepresentation
bin101111000010101010…
…0111111111010110101
3100122202100001201121112
41132011110333322311
53123342401402404
6114224121124405
710204253241146
oct1360524777265
9318670051545
10101021122229
113992a876375
12176b3929705
1396ac233a91
144c64909acd
152963bde56e
hex178553feb5

101021122229 has 2 divisors, whose sum is σ = 101021122230. Its totient is φ = 101021122228.

The previous prime is 101021122193. The next prime is 101021122273. The reversal of 101021122229 is 922221120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78181752100 + 22839370129 = 279610^2 + 151127^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021122229 - 216 = 101021056693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021122129) 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, 50510561114 + 50510561115.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561115).

Almost surely, 2101021122229 is an apocalyptic number.

It is an amenable number.

101021122229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122229 is an equidigital number, since it uses as much as digits as its factorization.

101021122229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 101021122229 in words is "one hundred one billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty-nine".