11111111110101 has 32 divisors (see below), whose sum is σ = 15231896322048. Its totient is φ = 7199308641600.

The previous prime is 11111111110097. The next prime is 11111111110133. The reversal of 11111111110101 is 10101111111111.

It is not a de Polignac number, because 11111111110101 - 2² = 11111111110097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111111110201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844110346 + ... + 844123508.

It is an arithmetic number, because the mean of its divisors is an integer number (475996760064).

Almost surely, 2^{11111111110101} is an apocalyptic number.

It is an amenable number.

11111111110101 is a deficient number, since it is larger than the sum of its proper divisors (4120785211947).

11111111110101 is a wasteful number, since it uses less digits than its factorization.

11111111110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20961.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 11111111110101 its reverse (10101111111111), we get a palindrome (21212222221212).

It can be divided in two parts, 111111111 and 10101, that multiplied together give a palindrome (1122333332211).

The spelling of 11111111110101 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred one".