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200200211200001 is a prime number
BaseRepresentation
bin101101100001010010111110…
…011110001111100000000001
3222020211221201221022211000002
4231201102332132033200001
5202220040013031400001
61545442412442205345
760111662602404125
oct5541227636174001
9866757657284002
10200200211200001
1158876484017201
121a5541857b3855
138792a5028716c
143761a55ba1585
151822a00d3146b
hexb614be78f801

200200211200001 has 2 divisors, whose sum is σ = 200200211200002. Its totient is φ = 200200211200000.

The previous prime is 200200211199991. The next prime is 200200211200091. The reversal of 200200211200001 is 100002112002002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162842738170225 + 37357473029776 = 12760985^2 + 6112076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200200211200001 is a prime.

It is not a weakly prime, because it can be changed into another prime (200200211200091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100105600000 + 100100105600001.

It is an arithmetic number, because the mean of its divisors is an integer number (100100105600001).

Almost surely, 2200200211200001 is an apocalyptic number.

It is an amenable number.

200200211200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200200211200001 is an equidigital number, since it uses as much as digits as its factorization.

200200211200001 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 11.

Adding to 200200211200001 its reverse (100002112002002), we get a palindrome (300202323202003).

The spelling of 200200211200001 in words is "two hundred trillion, two hundred billion, two hundred eleven million, two hundred thousand, one".