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201221211000209 is a prime number
BaseRepresentation
bin101101110000001001110110…
…110011011000110110010001
3222101110120010011120121210012
4231300021312303120312101
5202333302020004001314
61551543425335244305
760245516122456361
oct5560116663306621
9871416104517705
10201221211000209
115912a488868884
121a69a028519695
1388381040c788a
1437992311c89a1
15183e35aea593e
hexb70276cd8d91

201221211000209 has 2 divisors, whose sum is σ = 201221211000210. Its totient is φ = 201221211000208.

The previous prime is 201221211000127. The next prime is 201221211000223. The reversal of 201221211000209 is 902000112122102.

201221211000209 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., 191110496329984 + 10110714670225 = 13824272^2 + 3179735^2 .

It is a cyclic number.

It is not a de Polignac number, because 201221211000209 - 216 = 201221210934673 is a prime.

It is not a weakly prime, because it can be changed into another prime (201221211000269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610605500104 + 100610605500105.

It is an arithmetic number, because the mean of its divisors is an integer number (100610605500105).

Almost surely, 2201221211000209 is an apocalyptic number.

It is an amenable number.

201221211000209 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221211000209 is an equidigital number, since it uses as much as digits as its factorization.

201221211000209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 201221211000209 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred eleven million, two hundred nine", and thus it is an aban number.