11011010101101 has 6 divisors (see below), whose sum is σ = 15904792368270. Its totient is φ = 7340673400728.

The previous prime is 11011010101079. The next prime is 11011010101121. The reversal of 11011010101101 is 10110101011011.

It can be written as a sum of positive squares in only one way, i.e., 8032973062500 + 2978037038601 = 2834250^2 + 1725699^2 .

It is not a de Polignac number, because 11011010101101 - 2¹⁴ = 11011010084717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1223445566789 = 11011010101101 / (1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011010101121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611722783386 + ... + 611722783403.

It is an arithmetic number, because the mean of its divisors is an integer number (2650798728045).

Almost surely, 2^{11011010101101} is an apocalyptic number.

It is an amenable number.

11011010101101 is a deficient number, since it is larger than the sum of its proper divisors (4893782267169).

11011010101101 is a wasteful number, since it uses less digits than its factorization.

11011010101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223445566795 (or 1223445566792 counting only the distinct ones).

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

Adding to 11011010101101 its reverse (10110101011011), we get a palindrome (21121111112112).

The spelling of 11011010101101 in words is "eleven trillion, eleven billion, ten million, one hundred one thousand, one hundred one".