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200201212000081 is a prime number
BaseRepresentation
bin101101100001010011111010…
…000111111111011101010001
3222020212001022200111201121201
4231201103322013333131101
5202220044040233000311
61545443100032551201
760112026444146455
oct5541237207773521
9866761280451551
10200201212000081
1158876947a37106
121a5544049b2501
138792b7c714566
143761b0ca7a665
151822a5db1e9c1
hexb614fa1ff751

200201212000081 has 2 divisors, whose sum is σ = 200201212000082. Its totient is φ = 200201212000080.

The previous prime is 200201212000033. The next prime is 200201212000121. The reversal of 200201212000081 is 180000212102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112217581158400 + 87983630841681 = 10593280^2 + 9379959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200201212000081 is a prime.

It is a super-2 number, since 2×2002012120000812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200201212000981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100606000040 + 100100606000041.

It is an arithmetic number, because the mean of its divisors is an integer number (100100606000041).

Almost surely, 2200201212000081 is an apocalyptic number.

It is an amenable number.

200201212000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201212000081 is an equidigital number, since it uses as much as digits as its factorization.

200201212000081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 200201212000081 its reverse (180000212102002), we get a palindrome (380201424102083).

The spelling of 200201212000081 in words is "two hundred trillion, two hundred one billion, two hundred twelve million, eighty-one", and thus it is an aban number.