11011111112101 has 8 divisors (see below), whose sum is σ = 11279858134104. Its totient is φ = 10742372820480.

The previous prime is 11011111112087. The next prime is 11011111112147. The reversal of 11011111112101 is 10121111111011.

It can be written as a sum of positive squares in 4 ways, for example, as 2717436856225 + 8293674255876 = 1648465^2 + 2879874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11011111112101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407731 + ... + 4710463.

It is an arithmetic number, because the mean of its divisors is an integer number (1409982266763).

Almost surely, 2^{11011111112101} is an apocalyptic number.

It is an amenable number.

11011111112101 is a deficient number, since it is larger than the sum of its proper divisors (268747022003).

11011111112101 is an equidigital number, since it uses as much as digits as its factorization.

11011111112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365191.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 11011111112101 its reverse (10121111111011), we get a palindrome (21132222223112).

The spelling of 11011111112101 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred one".