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12122010101 is a prime number
BaseRepresentation
bin10110100101000011…
…10011000111110101
31011021210200220202002
423102201303013311
5144311213310401
65322504425045
7606252246215
oct132241630765
934253626662
1012122010101
115160616673
122423778185
1311b2513656
1482dcdc245
154ae321a6b
hex2d28731f5

12122010101 has 2 divisors, whose sum is σ = 12122010102. Its totient is φ = 12122010100.

The previous prime is 12122010071. The next prime is 12122010107. The reversal of 12122010101 is 10101022121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8801254225 + 3320755876 = 93815^2 + 57626^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122010101 - 214 = 12121993717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061005050 + 6061005051.

It is an arithmetic number, because the mean of its divisors is an integer number (6061005051).

Almost surely, 212122010101 is an apocalyptic number.

It is an amenable number.

12122010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122010101 is an equidigital number, since it uses as much as digits as its factorization.

12122010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12122010101 its reverse (10101022121), we get a palindrome (22223032222).

The spelling of 12122010101 in words is "twelve billion, one hundred twenty-two million, ten thousand, one hundred one".