Search a number
-
+
212121102110011 is a prime number
BaseRepresentation
bin110000001110110001001010…
…111100001100110100111011
31000211001120122022200202120121
4300032301022330030310323
5210300343004120010021
62031051031122034111
762452146440304253
oct6016611274146473
91024046568622517
10212121102110011
1161652066178896
121b95a5a7aa8937
139148c1b2a5013
143a54a05076963
15197cb53ab6741
hexc0ec4af0cd3b

212121102110011 has 2 divisors, whose sum is σ = 212121102110012. Its totient is φ = 212121102110010.

The previous prime is 212121102109999. The next prime is 212121102110119. The reversal of 212121102110011 is 110011201121212.

212121102110011 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 is a cyclic number.

It is not a de Polignac number, because 212121102110011 - 223 = 212121093721403 is a prime.

It is a super-3 number, since 3×2121211021100113 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212121102150011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060551055005 + 106060551055006.

It is an arithmetic number, because the mean of its divisors is an integer number (106060551055006).

Almost surely, 2212121102110011 is an apocalyptic number.

212121102110011 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121102110011 is an equidigital number, since it uses as much as digits as its factorization.

212121102110011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 212121102110011 its reverse (110011201121212), we get a palindrome (322132303231223).

The spelling of 212121102110011 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred two million, one hundred ten thousand, eleven".