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11111101100101 is a prime number
BaseRepresentation
bin1010000110110000000100…
…1110111111000001000101
31110100012200201222100001201
42201230001032333001011
52424021013340200401
635344211441422501
72224515305021212
oct241540116770105
943305621870051
1011111101100101
1135a42119a5902
1212b54a533aa31
13627a06a98582
142a5accaa2b09
1514405a2a3b01
hexa1b013bf045

11111101100101 has 2 divisors, whose sum is σ = 11111101100102. Its totient is φ = 11111101100100.

The previous prime is 11111101100093. The next prime is 11111101100107. The reversal of 11111101100101 is 10100110111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7580253407076 + 3530847693025 = 2753226^2 + 1879055^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111101100101 - 23 = 11111101100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11111101100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555550550050 + 5555550550051.

It is an arithmetic number, because the mean of its divisors is an integer number (5555550550051).

Almost surely, 211111101100101 is an apocalyptic number.

It is an amenable number.

11111101100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111101100101 is an equidigital number, since it uses as much as digits as its factorization.

11111101100101 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 11111101100101 its reverse (10100110111111), we get a palindrome (21211211211212).

The spelling of 11111101100101 in words is "eleven trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one hundred one".