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11001101111101 is a prime number
BaseRepresentation
bin1010000000010110010010…
…1110010100111100111101
31102221200202122120220210001
42200011210232110330331
52420220223341023401
635221500332114301
72213542353364633
oct240054456247475
942850678526701
1011001101111101
1135615a4862a92
121298106605991
1361a5265a369a
142a06558c3353
1514126d1ae601
hexa0164b94f3d

11001101111101 has 2 divisors, whose sum is σ = 11001101111102. Its totient is φ = 11001101111100.

The previous prime is 11001101111093. The next prime is 11001101111113. The reversal of 11001101111101 is 10111110110011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6992692696900 + 4008408414201 = 2644370^2 + 2002101^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001101111101 - 23 = 11001101111093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001101111501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500550555550 + 5500550555551.

It is an arithmetic number, because the mean of its divisors is an integer number (5500550555551).

Almost surely, 211001101111101 is an apocalyptic number.

It is an amenable number.

11001101111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001101111101 is an equidigital number, since it uses as much as digits as its factorization.

11001101111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11001101111101 its reverse (10111110110011), we get a palindrome (21112211221112).

The spelling of 11001101111101 in words is "eleven trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred one".