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212121010101149 is a prime number
BaseRepresentation
bin110000001110110001000101…
…011101001101101110011101
31000211001120101220120020010222
4300032301011131031232131
5210300342312041214044
62031051014034011125
762452144242243662
oct6016610535155635
91024046356506128
10212121010101149
1161652019245206
121b95a581116aa5
139148c051cb8c6
143a549d6b65a69
15197cb4a98e8ee
hexc0ec4574db9d

212121010101149 has 2 divisors, whose sum is σ = 212121010101150. Its totient is φ = 212121010101148.

The previous prime is 212121010101113. The next prime is 212121010101227. The reversal of 212121010101149 is 941101010121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209082201105625 + 3038808995524 = 14459675^2 + 1743218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212121010101149 is a prime.

It is a super-3 number, since 3×2121210101011493 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121010161149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060505050574 + 106060505050575.

It is an arithmetic number, because the mean of its divisors is an integer number (106060505050575).

Almost surely, 2212121010101149 is an apocalyptic number.

It is an amenable number.

212121010101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121010101149 is an equidigital number, since it uses as much as digits as its factorization.

212121010101149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 212121010101149 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, one hundred one thousand, one hundred forty-nine".