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10200200111201 is a prime number
BaseRepresentation
bin1001010001101110101101…
…0011011110010001100001
31100010010111111001122021202
42110123223103132101201
52314110002212024301
633405523544130545
72101640316251012
oct224335323362141
940103444048252
1010200200111201
113282976053781
121188a4a466a55
1358cb4aa70499
14273999a21009
1512a4e5c4466b
hex946eb4de461

10200200111201 has 2 divisors, whose sum is σ = 10200200111202. Its totient is φ = 10200200111200.

The previous prime is 10200200111191. The next prime is 10200200111281. The reversal of 10200200111201 is 10211100200201.

10200200111201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5310263968801 + 4889936142400 = 2304401^2 + 2211320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10200200111201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200200111281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100100055600 + 5100100055601.

It is an arithmetic number, because the mean of its divisors is an integer number (5100100055601).

Almost surely, 210200200111201 is an apocalyptic number.

It is an amenable number.

10200200111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200200111201 is an equidigital number, since it uses as much as digits as its factorization.

10200200111201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200200111201 its reverse (10211100200201), we get a palindrome (20411300311402).

The spelling of 10200200111201 in words is "ten trillion, two hundred billion, two hundred million, one hundred eleven thousand, two hundred one".