100011011101001 has 32 divisors (see below), whose sum is σ = 134281418750976. Its totient is φ = 71935509672000.

The previous prime is 100011011100997. The next prime is 100011011101007. The reversal of 100011011101001 is 100101110110001.

It is not a de Polignac number, because 100011011101001 - 2² = 100011011100997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011011101001.

It is not an unprimeable number, because it can be changed into a prime (100011011101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224132246 + ... + 224578016.

It is an arithmetic number, because the mean of its divisors is an integer number (4196294335968).

Almost surely, 2^{100011011101001} is an apocalyptic number.

100011011101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011011101001 is a deficient number, since it is larger than the sum of its proper divisors (34270407649975).

100011011101001 is a wasteful number, since it uses less digits than its factorization.

100011011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669933.

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

Adding to 100011011101001 its reverse (100101110110001), we get a palindrome (200112121211002).

The spelling of 100011011101001 in words is "one hundred trillion, eleven billion, eleven million, one hundred one thousand, one".