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2002122122107 is a prime number
BaseRepresentation
bin11101001000100111110…
…001110010001101111011
321002101211022222211020011
4131020213301302031323
5230300321230401412
64131432345242351
7264435311150002
oct35104761621573
97071738884204
102002122122107
11702105819608
122840367933b7
13116a510c9523
146cc90657c39
153712e4647a7
hex1d227c7237b

2002122122107 has 2 divisors, whose sum is σ = 2002122122108. Its totient is φ = 2002122122106.

The previous prime is 2002122122093. The next prime is 2002122122149. The reversal of 2002122122107 is 7012212212002.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002122122107 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002122122167) 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, 1001061061053 + 1001061061054.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061061054).

Almost surely, 22002122122107 is an apocalyptic number.

2002122122107 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002122122107 is an equidigital number, since it uses as much as digits as its factorization.

2002122122107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 2002122122107 its reverse (7012212212002), we get a palindrome (9014334334109).

The spelling of 2002122122107 in words is "two trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred seven".