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11100108101 is a prime number
BaseRepresentation
bin10100101011001111…
…00011010101000101
31001122120210220201212
422111213203111011
5140213111424401
65033241501205
7542033235125
oct122547432505
931576726655
1011100108101
1147867a3565
1221994a1805
13107b8a8404
147742ccc85
1544e765dbb
hex2959e3545

11100108101 has 2 divisors, whose sum is σ = 11100108102. Its totient is φ = 11100108100.

The previous prime is 11100108091. The next prime is 11100108133. The reversal of 11100108101 is 10180100111.

It is a happy number.

11100108101 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., 6513297025 + 4586811076 = 80705^2 + 67726^2 .

It is an emirp because it is prime and its reverse (10180100111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11100108101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11100108191) 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, 5550054050 + 5550054051.

It is an arithmetic number, because the mean of its divisors is an integer number (5550054051).

Almost surely, 211100108101 is an apocalyptic number.

It is an amenable number.

11100108101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100108101 is an equidigital number, since it uses as much as digits as its factorization.

11100108101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11100108101 its reverse (10180100111), we get a palindrome (21280208212).

It can be divided in two parts, 1110010 and 8101, that added together give a palindrome (1118111).

The spelling of 11100108101 in words is "eleven billion, one hundred million, one hundred eight thousand, one hundred one".