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1002122000027 is a prime number
BaseRepresentation
bin11101001010100110010…
…00000011011010011011
310112210122121100012021122
432211103020003122123
5112404321213000102
62044211332155455
7132254342312021
oct16452310033233
93483577305248
101002122000027
11356aa781aa25
12142274768b8b
1373665aba265
14367081bc711
151b102bc70a2
hexe95320369b

1002122000027 has 2 divisors, whose sum is σ = 1002122000028. Its totient is φ = 1002122000026.

The previous prime is 1002122000003. The next prime is 1002122000029. The reversal of 1002122000027 is 7200002212001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1002122000027 - 228 = 1001853564571 is a prime.

It is a super-2 number, since 2×10021220000272 (a number of 25 digits) contains 22 as substring.

Together with 1002122000029, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002121999969 and 1002122000014.

It is not a weakly prime, because it can be changed into another prime (1002122000029) 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, 501061000013 + 501061000014.

It is an arithmetic number, because the mean of its divisors is an integer number (501061000014).

Almost surely, 21002122000027 is an apocalyptic number.

1002122000027 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002122000027 is an equidigital number, since it uses as much as digits as its factorization.

1002122000027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

Adding to 1002122000027 its reverse (7200002212001), we get a palindrome (8202124212028).

The spelling of 1002122000027 in words is "one trillion, two billion, one hundred twenty-two million, twenty-seven", and thus it is an aban number.