10011111011101 has 8 divisors (see below), whose sum is σ = 10111253064408. Its totient is φ = 9910989000000.

The previous prime is 10011111011081. The next prime is 10011111011117. The reversal of 10011111011101 is 10111011111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4938372840025 + 5072738171076 = 2222245^2 + 2252274^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10011111011101 - 2¹³ = 10011111002909 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 (10011111011131) 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, 4005550 + ... + 6005551.

It is an arithmetic number, because the mean of its divisors is an integer number (1263906633051).

Almost surely, 2^{10011111011101} is an apocalyptic number.

It is an amenable number.

10011111011101 is a deficient number, since it is larger than the sum of its proper divisors (100142053307).

10011111011101 is a wasteful number, since it uses less digits than its factorization.

10011111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021103.

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

Adding to 10011111011101 its reverse (10111011111001), we get a palindrome (20122122122102).

The spelling of 10011111011101 in words is "ten trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred one".