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12102102012127 is a prime number
BaseRepresentation
bin1011000000011011110101…
…1111011101000011011111
31120211221122022000201121011
42300012331133131003133
53041240101103342002
641423343502320051
72356230240545161
oct260067537350337
946757568021534
1012102102012127
1139465220a2806
121435575589027
1369a2b9842c8a
142dba5dc90931
1515ec0b96d8d7
hexb01bd7dd0df

12102102012127 has 2 divisors, whose sum is σ = 12102102012128. Its totient is φ = 12102102012126.

The previous prime is 12102102012109. The next prime is 12102102012149. The reversal of 12102102012127 is 72121020120121.

It is an a-pointer prime, because the next prime (12102102012149) can be obtained adding 12102102012127 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12102102012127 is a prime.

It is a super-4 number, since 4×121021020121274 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12102102012098 and 12102102012107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12102102012157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051051006063 + 6051051006064.

It is an arithmetic number, because the mean of its divisors is an integer number (6051051006064).

Almost surely, 212102102012127 is an apocalyptic number.

12102102012127 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102102012127 is an equidigital number, since it uses as much as digits as its factorization.

12102102012127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 12102102012127 its reverse (72121020120121), we get a palindrome (84223122132248).

The spelling of 12102102012127 in words is "twelve trillion, one hundred two billion, one hundred two million, twelve thousand, one hundred twenty-seven".