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201121100209 is a prime number
BaseRepresentation
bin1011101101001111000…
…0000111000110110001
3201020010110211110212101
42323103300013012301
511243344000201314
6232221015100401
720346653100511
oct2732360070661
9636113743771
10201121100209
11783276883a7
1232b8b071701
1315c72679c93
149a3cd53841
155371ac7174
hex2ed3c071b1

201121100209 has 2 divisors, whose sum is σ = 201121100210. Its totient is φ = 201121100208.

The previous prime is 201121100189. The next prime is 201121100221. The reversal of 201121100209 is 902001121102.

It is a happy number.

201121100209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181244329984 + 19876770225 = 425728^2 + 140985^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121100209 - 25 = 201121100177 is a prime.

It is not a weakly prime, because it can be changed into another prime (201121100239) 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, 100560550104 + 100560550105.

It is an arithmetic number, because the mean of its divisors is an integer number (100560550105).

Almost surely, 2201121100209 is an apocalyptic number.

It is an amenable number.

201121100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121100209 is an equidigital number, since it uses as much as digits as its factorization.

201121100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 201121100209 in words is "two hundred one billion, one hundred twenty-one million, one hundred thousand, two hundred nine".