100101101111011 has 128 divisors (see below), whose sum is σ = 139537721917440. Its totient is φ = 69301646668800.

The previous prime is 100101101110937. The next prime is 100101101111029. The reversal of 100101101111011 is 110111101101001.

It is a happy number.

It is not a de Polignac number, because 100101101111011 - 2³³ = 100092511176419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101101111911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1771578586 + ... + 1771635088.

It is an arithmetic number, because the mean of its divisors is an integer number (1090138452480).

Almost surely, 2^{100101101111011} is an apocalyptic number.

100101101111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101101111011 is a deficient number, since it is larger than the sum of its proper divisors (39436620806429).

100101101111011 is a wasteful number, since it uses less digits than its factorization.

100101101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57177.

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

Adding to 100101101111011 its reverse (110111101101001), we get a palindrome (210212202212012).

The spelling of 100101101111011 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, eleven".