100111101101 has 16 divisors (see below), whose sum is σ = 109442658816. Its totient is φ = 90818190000.

The previous prime is 100111101073. The next prime is 100111101107. The reversal of 100111101101 is 101101111001.

It is a cyclic number.

It is not a de Polignac number, because 100111101101 - 2²² = 100106906797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101107) 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, 11007566 + ... + 11016656.

It is an arithmetic number, because the mean of its divisors is an integer number (6840166176).

Almost surely, 2^100111101101 is an apocalyptic number.

100111101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111101101 is a deficient number, since it is larger than the sum of its proper divisors (9331557715).

100111101101 is a wasteful number, since it uses less digits than its factorization.

100111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104.

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

Adding to 100111101101 its reverse (101101111001), we get a palindrome (201212212102).

The spelling of 100111101101 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one hundred one".