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12111132101 is a prime number
BaseRepresentation
bin10110100011110000…
…10011010111000101
31011021001020020221012
423101320103113011
5144300422211401
65321435332005
7606060632015
oct132170232705
934231206835
1012111132101
115155466892
12241bbb1005
1311b01a5273
1482c6a9c45
154ad3c38bb
hex2d1e135c5

12111132101 has 2 divisors, whose sum is σ = 12111132102. Its totient is φ = 12111132100.

The previous prime is 12111132097. The next prime is 12111132139. The reversal of 12111132101 is 10123111121.

12111132101 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 can be written as a sum of positive squares in only one way, i.e., 11938840225 + 172291876 = 109265^2 + 13126^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111132101 - 22 = 12111132097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111132181) 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, 6055566050 + 6055566051.

It is an arithmetic number, because the mean of its divisors is an integer number (6055566051).

Almost surely, 212111132101 is an apocalyptic number.

It is an amenable number.

12111132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111132101 is an equidigital number, since it uses as much as digits as its factorization.

12111132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 12111132101 its reverse (10123111121), we get a palindrome (22234243222).

The spelling of 12111132101 in words is "twelve billion, one hundred eleven million, one hundred thirty-two thousand, one hundred one".