1011011101101 has 12 divisors (see below), whose sum is σ = 1470855480640. Its totient is φ = 669158425800.

The previous prime is 1011011101073. The next prime is 1011011101103.

1011011101101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1011011101101 - 2¹⁹ = 1011010576813 is a prime.

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

1011011101101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011101103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404079925 + ... + 404082426.

Almost surely, 2^{1011011101101} is an apocalyptic number.

It is an amenable number.

1011011101101 is a deficient number, since it is larger than the sum of its proper divisors (459844379539).

1011011101101 is a wasteful number, since it uses less digits than its factorization.

1011011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808162496 (or 808162493 counting only the distinct ones).

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

The spelling of 1011011101101 in words is "one trillion, eleven billion, eleven million, one hundred one thousand, one hundred one".