Search a number
-
+
10101101009969 is a prime number
BaseRepresentation
bin1001001011111101100010…
…0010011001110000110001
31022202122201002121200211002
42102333120202121300301
52310444023324304334
633252214242331345
72061531461633354
oct222773042316061
938678632550732
1010101101009969
113244942204212
1211717b2359b55
135836b6ab0548
1426cc784b229b
15127b45b62b7e
hex92fd8899c31

10101101009969 has 2 divisors, whose sum is σ = 10101101009970. Its totient is φ = 10101101009968.

The previous prime is 10101101009929. The next prime is 10101101010017. The reversal of 10101101009969 is 96990010110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10090120485025 + 10980524944 = 3176495^2 + 104788^2 .

It is an emirp because it is prime and its reverse (96990010110101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101101009969 is a prime.

It is a super-2 number, since 2×101011010099692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101101009929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550504984 + 5050550504985.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550504985).

Almost surely, 210101101009969 is an apocalyptic number.

It is an amenable number.

10101101009969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101009969 is an equidigital number, since it uses as much as digits as its factorization.

10101101009969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 38.

The spelling of 10101101009969 in words is "ten trillion, one hundred one billion, one hundred one million, nine thousand, nine hundred sixty-nine".