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211010121000089 is a prime number
BaseRepresentation
bin101111111110100110011111…
…010011100110010010011001
31000200010101000010201210220222
4233332212133103212102121
5210124142211434000324
62024440413353125425
762305656335551055
oct5776463723462231
91020111003653828
10211010121000089
1161263987311444
121b7bb2126b9875
139098227487588
143a16d31418c65
15195dcce05855e
hexbfe99f4e6499

211010121000089 has 2 divisors, whose sum is σ = 211010121000090. Its totient is φ = 211010121000088.

The previous prime is 211010121000047. The next prime is 211010121000121. The reversal of 211010121000089 is 980000121010112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192538047652864 + 18472073347225 = 13875808^2 + 4297915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211010121000089 is a prime.

It is not a weakly prime, because it can be changed into another prime (211000121000089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505060500044 + 105505060500045.

It is an arithmetic number, because the mean of its divisors is an integer number (105505060500045).

Almost surely, 2211010121000089 is an apocalyptic number.

It is an amenable number.

211010121000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010121000089 is an equidigital number, since it uses as much as digits as its factorization.

211010121000089 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 26.

The spelling of 211010121000089 in words is "two hundred eleven trillion, ten billion, one hundred twenty-one million, eighty-nine", and thus it is an aban number.