100011011111011 has 16 divisors (see below), whose sum is σ = 134280518416128. Its totient is φ = 71935992007200.

The previous prime is 100011011111009. The next prime is 100011011111027. The reversal of 100011011111011 is 110111110110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011011111011 - 2¹ = 100011011111009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011011111041) 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, 49955549005 + ... + 49955551006.

It is an arithmetic number, because the mean of its divisors is an integer number (8392532401008).

Almost surely, 2^{100011011111011} is an apocalyptic number.

100011011111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100011011111011 is a deficient number, since it is larger than the sum of its proper divisors (34269507305117).

100011011111011 is a wasteful number, since it uses less digits than its factorization.

100011011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99911100042.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100011011111011 its reverse (110111110110001), we get a palindrome (210122121221012).

It can be divided in two parts, 1000110 and 11111011, that added together give a palindrome (12111121).

The spelling of 100011011111011 in words is "one hundred trillion, eleven billion, eleven million, one hundred eleven thousand, eleven".