101100001101011 has 16 divisors (see below), whose sum is σ = 113752748487168. Its totient is φ = 89062949772000.

The previous prime is 101100001100953. The next prime is 101100001101019. The reversal of 101100001101011 is 110101100001101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100001101011 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 101100001101011.

It is not an unprimeable number, because it can be changed into a prime (101100001101019) 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, 968023325 + ... + 968127758.

It is an arithmetic number, because the mean of its divisors is an integer number (7109546780448).

Almost surely, 2^{101100001101011} is an apocalyptic number.

101100001101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100001101011 is a deficient number, since it is larger than the sum of its proper divisors (12652747386157).

101100001101011 is a wasteful number, since it uses less digits than its factorization.

101100001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936151242.

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

Adding to 101100001101011 its reverse (110101100001101), we get a palindrome (211201101102112).

The spelling of 101100001101011 in words is "one hundred one trillion, one hundred billion, one million, one hundred one thousand, eleven".