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12212310101 is a prime number
BaseRepresentation
bin10110101111110100…
…10001000001010101
31011112002121122001112
423113322101001111
5200002322410401
65335452104405
7611426631425
oct132772210125
934462548045
1012212310101
1151a7592372
122449a65105
1311c813bcc4
1483bcc6485
154b720c3bb
hex2d7e91055

12212310101 has 2 divisors, whose sum is σ = 12212310102. Its totient is φ = 12212310100.

The previous prime is 12212310083. The next prime is 12212310107. The reversal of 12212310101 is 10101321221.

12212310101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6398400100 + 5813910001 = 79990^2 + 76249^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212310101 - 218 = 12212047957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106155050 + 6106155051.

It is an arithmetic number, because the mean of its divisors is an integer number (6106155051).

Almost surely, 212212310101 is an apocalyptic number.

It is an amenable number.

12212310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212310101 is an equidigital number, since it uses as much as digits as its factorization.

12212310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12212310101 its reverse (10101321221), we get a palindrome (22313631322).

The spelling of 12212310101 in words is "twelve billion, two hundred twelve million, three hundred ten thousand, one hundred one".