Search a number
-
+
12101000012141 is a prime number
BaseRepresentation
bin1011000000010111101111…
…0011101010000101101101
31120211211210111102022210212
42300011323303222011231
53041230322000342031
641423042254512205
72356161026652215
oct260057363520555
946754714368725
1012101000012141
113946007041917
121435308505665
1369a172441b91
142db997791245
1515eb94d4012b
hexb017bcea16d

12101000012141 has 2 divisors, whose sum is σ = 12101000012142. Its totient is φ = 12101000012140.

The previous prime is 12101000012089. The next prime is 12101000012173. The reversal of 12101000012141 is 14121000010121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9585432721225 + 2515567290916 = 3096035^2 + 1586054^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101000012141 - 226 = 12100932903277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101000012341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050500006070 + 6050500006071.

It is an arithmetic number, because the mean of its divisors is an integer number (6050500006071).

Almost surely, 212101000012141 is an apocalyptic number.

It is an amenable number.

12101000012141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101000012141 is an equidigital number, since it uses as much as digits as its factorization.

12101000012141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12101000012141 its reverse (14121000010121), we get a palindrome (26222000022262).

The spelling of 12101000012141 in words is "twelve trillion, one hundred one billion, twelve thousand, one hundred forty-one".