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10010131221089 is a prime number
BaseRepresentation
bin1001000110101010101001…
…0100001100101001100001
31022102221220020220121110002
42101222222110030221201
52303001222043033324
633142331340145345
72052131245324106
oct221525224145141
938387806817402
1010010131221089
11320a30012440a
121158044838255
13577c4a09b1bc
142686c888caad
151255be5c13ae
hex91aaa50ca61

10010131221089 has 2 divisors, whose sum is σ = 10010131221090. Its totient is φ = 10010131221088.

The previous prime is 10010131221071. The next prime is 10010131221107. The reversal of 10010131221089 is 98012213101001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10010131221071) and next prime (10010131221107).

It can be written as a sum of positive squares in only one way, i.e., 9950289830464 + 59841390625 = 3154408^2 + 244625^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010131221089 - 28 = 10010131220833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010131221019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005065610544 + 5005065610545.

It is an arithmetic number, because the mean of its divisors is an integer number (5005065610545).

Almost surely, 210010131221089 is an apocalyptic number.

It is an amenable number.

10010131221089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010131221089 is an equidigital number, since it uses as much as digits as its factorization.

10010131221089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 10010131221089 in words is "ten trillion, ten billion, one hundred thirty-one million, two hundred twenty-one thousand, eighty-nine".