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200212211020001 is a prime number
BaseRepresentation
bin101101100001011110001001…
…101101111011000011100001
3222020220002201020002211102212
4231201132021231323003201
5202220234102010120001
61545452115304051505
760112566142241105
oct5541361155730341
9866802636084385
10200212211020001
1158880581665614
121a556574463b95
138793c13387a7b
143762473773905
151822ea45687bb
hexb61789b7b0e1

200212211020001 has 2 divisors, whose sum is σ = 200212211020002. Its totient is φ = 200212211020000.

The previous prime is 200212211019979. The next prime is 200212211020007. The reversal of 200212211020001 is 100020112212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191329784504401 + 8882426515600 = 13832201^2 + 2980340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200212211020001 is a prime.

It is not a weakly prime, because it can be changed into another prime (200212211020007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106105510000 + 100106105510001.

It is an arithmetic number, because the mean of its divisors is an integer number (100106105510001).

Almost surely, 2200212211020001 is an apocalyptic number.

It is an amenable number.

200212211020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212211020001 is an equidigital number, since it uses as much as digits as its factorization.

200212211020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200212211020001 its reverse (100020112212002), we get a palindrome (300232323232003).

The spelling of 200212211020001 in words is "two hundred trillion, two hundred twelve billion, two hundred eleven million, twenty thousand, one".