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12010010081 is a prime number
BaseRepresentation
bin10110010111101101…
…00011010111100001
31010222222221201121012
423023312203113201
5144044030310311
65303424110305
7603422254436
oct131366432741
933888851535
1012010010081
115103379373
1223b2165395
13119525ab54
1481d0a5b8d
154a459b78b
hex2cbda35e1

12010010081 has 2 divisors, whose sum is σ = 12010010082. Its totient is φ = 12010010080.

The previous prime is 12010009967. The next prime is 12010010093. The reversal of 12010010081 is 18001001021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6590841856 + 5419168225 = 81184^2 + 73615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12010010081 is a prime.

It is a super-2 number, since 2×120100100812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12010010581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005005040 + 6005005041.

It is an arithmetic number, because the mean of its divisors is an integer number (6005005041).

Almost surely, 212010010081 is an apocalyptic number.

It is an amenable number.

12010010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12010010081 is an equidigital number, since it uses as much as digits as its factorization.

12010010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 12010010081 in words is "twelve billion, ten million, ten thousand, eighty-one".