101101111100 has 144 divisors (see below), whose sum is σ = 244784332800. Its totient is φ = 35936160000.

The previous prime is 101101111031. The next prime is 101101111151. The reversal of 101101111100 is 1111101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8771141 + ... + 8782659.

It is an arithmetic number, because the mean of its divisors is an integer number (1699891200).

Almost surely, 2^101101111100 is an apocalyptic number.

101101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122392166400).

101101111100 is an abundant number, since it is smaller than the sum of its proper divisors (143683221700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101111100 is a wasteful number, since it uses less digits than its factorization.

101101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11717 counting only the distinct ones).

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

Adding to 101101111100 its reverse (1111101101), we get a palindrome (102212212201).

Subtracting from 101101111100 its reverse (1111101101), we obtain a palindrome (99990009999).

The spelling of 101101111100 in words is "one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred".