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2122000200161 is a prime number
BaseRepresentation
bin11110111000010001000…
…100010111000111100001
321111212020211202011020222
4132320101010113013201
5234231324022401121
64302500004412425
7306211100044562
oct36702104270741
97455224664228
102122000200161
11748a31879996
122a33116a7115
13125146c65c1a
14749c3704169
153a2e88850ab
hex1ee111171e1

2122000200161 has 2 divisors, whose sum is σ = 2122000200162. Its totient is φ = 2122000200160.

The previous prime is 2122000200149. The next prime is 2122000200167. The reversal of 2122000200161 is 1610020002212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1982692102561 + 139308097600 = 1408081^2 + 373240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122000200161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122000200167) 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, 1061000100080 + 1061000100081.

It is an arithmetic number, because the mean of its divisors is an integer number (1061000100081).

Almost surely, 22122000200161 is an apocalyptic number.

It is an amenable number.

2122000200161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122000200161 is an equidigital number, since it uses as much as digits as its factorization.

2122000200161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2122000200161 its reverse (1610020002212), we get a palindrome (3732020202373).

The spelling of 2122000200161 in words is "two trillion, one hundred twenty-two billion, two hundred thousand, one hundred sixty-one".