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12221111101 is a prime number
BaseRepresentation
bin10110110000110111…
…10101101100111101
31011112201011202202111
423120123311230331
5200012101023401
65340404454021
7611564505343
oct133033655475
934481152674
1012221111101
115201553721
1224509aa311
1311c9c00bb4
1483d137993
154b7d99e51
hex2d86f5b3d

12221111101 has 2 divisors, whose sum is σ = 12221111102. Its totient is φ = 12221111100.

The previous prime is 12221111099. The next prime is 12221111107. The reversal of 12221111101 is 10111112221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12159472900 + 61638201 = 110270^2 + 7851^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221111101 - 21 = 12221111099 is a prime.

Together with 12221111099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221111107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110555550 + 6110555551.

It is an arithmetic number, because the mean of its divisors is an integer number (6110555551).

Almost surely, 212221111101 is an apocalyptic number.

It is an amenable number.

12221111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221111101 is an equidigital number, since it uses as much as digits as its factorization.

12221111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12221111101 its reverse (10111112221), we get a palindrome (22332223322).

The spelling of 12221111101 in words is "twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred one".