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12101005201 is a prime number
BaseRepresentation
bin10110100010100011…
…01010111110010001
31011020100011202102211
423101101222332101
5144240324131301
65320434312121
7605605563355
oct132121527621
934210152384
1012101005201
11514a77a34a
122418728641
1311ab06aa0c
1482b1d1465
154ac573051
hex2d146af91

12101005201 has 2 divisors, whose sum is σ = 12101005202. Its totient is φ = 12101005200.

The previous prime is 12101005181. The next prime is 12101005223. The reversal of 12101005201 is 10250010121.

12101005201 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., 11599290000 + 501715201 = 107700^2 + 22399^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101005201 - 211 = 12101003153 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101005271) 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, 6050502600 + 6050502601.

It is an arithmetic number, because the mean of its divisors is an integer number (6050502601).

Almost surely, 212101005201 is an apocalyptic number.

It is an amenable number.

12101005201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101005201 is an equidigital number, since it uses as much as digits as its factorization.

12101005201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 12101005201 its reverse (10250010121), we get a palindrome (22351015322).

The spelling of 12101005201 in words is "twelve billion, one hundred one million, five thousand, two hundred one".