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212102010112189 is a prime number
BaseRepresentation
bin110000001110011111011000…
…111110000000100010111101
31000210222202100202201210011011
4300032133120332000202331
5210300034404042042224
62031034152430155221
762450602352065111
oct6016373076004275
91023882322653134
10212102010112189
1161644a5924729a
121b95695a052b11
139147197a661a2
143a53b135d1741
15197c3d7908394
hexc0e7d8f808bd

212102010112189 has 2 divisors, whose sum is σ = 212102010112190. Its totient is φ = 212102010112188.

The previous prime is 212102010112183. The next prime is 212102010112211. The reversal of 212102010112189 is 981211010201212.

It is a happy number.

212102010112189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106107675536164 + 105994334576025 = 10300858^2 + 10295355^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102010112189 - 223 = 212102001723581 is a prime.

It is a super-2 number, since 2×2121020101121892 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212102010112189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212102010112183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051005056094 + 106051005056095.

It is an arithmetic number, because the mean of its divisors is an integer number (106051005056095).

Almost surely, 2212102010112189 is an apocalyptic number.

It is an amenable number.

212102010112189 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102010112189 is an equidigital number, since it uses as much as digits as its factorization.

212102010112189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 212102010112189 in words is "two hundred twelve trillion, one hundred two billion, ten million, one hundred twelve thousand, one hundred eighty-nine".