10011101101101 has 32 divisors (see below), whose sum is σ = 14887734825600. Its totient is φ = 6648696483840.

The previous prime is 10011101101097. The next prime is 10011101101121. The reversal of 10011101101101 is 10110110111001.

It is not a de Polignac number, because 10011101101101 - 2² = 10011101101097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101101121) 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, 7930285 + ... + 9105581.

It is an arithmetic number, because the mean of its divisors is an integer number (465241713300).

Almost surely, 2^{10011101101101} is an apocalyptic number.

It is an amenable number.

10011101101101 is a deficient number, since it is larger than the sum of its proper divisors (4876633724499).

10011101101101 is a wasteful number, since it uses less digits than its factorization.

10011101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176506 (or 1176500 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011101101101 its reverse (10110110111001), we get a palindrome (20121211212102).

The spelling of 10011101101101 in words is "ten trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred one".