1001101101011 has 16 divisors (see below), whose sum is σ = 1098067968000. Its totient is φ = 905129265600.

The previous prime is 1001101100983. The next prime is 1001101101023. The reversal of 1001101101011 is 1101011011001.

1001101101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001101101011 - 2³⁴ = 983921231827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001101101011.

It is not an unprimeable number, because it can be changed into a prime (1001101101211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10033055 + ... + 10132343.

It is an arithmetic number, because the mean of its divisors is an integer number (68629248000).

Almost surely, 2^{1001101101011} is an apocalyptic number.

1001101101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001101101011 is a deficient number, since it is larger than the sum of its proper divisors (96966866989).

1001101101011 is a wasteful number, since it uses less digits than its factorization.

1001101101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104290.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001101101011 its reverse (1101011011001), we get a palindrome (2102112112012).

The spelling of 1001101101011 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, eleven".