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12101112197 is a prime number
BaseRepresentation
bin10110100010100100…
…00101000110000101
31011020100101012012122
423101102011012011
5144240341042242
65320440455325
7605606520326
oct132122050605
934210335178
1012101112197
11514a842779
12241877a545
1311ab0a7625
1482b21c44d
154ac594ad2
hex2d1485185

12101112197 has 2 divisors, whose sum is σ = 12101112198. Its totient is φ = 12101112196.

The previous prime is 12101112173. The next prime is 12101112203. The reversal of 12101112197 is 79121110121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10459971076 + 1641141121 = 102274^2 + 40511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101112197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101112097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050556098 + 6050556099.

It is an arithmetic number, because the mean of its divisors is an integer number (6050556099).

Almost surely, 212101112197 is an apocalyptic number.

It is an amenable number.

12101112197 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101112197 is an equidigital number, since it uses as much as digits as its factorization.

12101112197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 26.

The spelling of 12101112197 in words is "twelve billion, one hundred one million, one hundred twelve thousand, one hundred ninety-seven".