101100111101 has 8 divisors (see below), whose sum is σ = 116095821600. Its totient is φ = 87071865840.

The previous prime is 101100111097. The next prime is 101100111107. The reversal of 101100111101 is 101111001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100111101 - 2² = 101100111097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241866086 + ... + 241866503.

It is an arithmetic number, because the mean of its divisors is an integer number (14511977700).

Almost surely, 2^101100111101 is an apocalyptic number.

101100111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100111101 is a deficient number, since it is larger than the sum of its proper divisors (14995710499).

101100111101 is a wasteful number, since it uses less digits than its factorization.

101100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483732619.

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

Adding to 101100111101 its reverse (101111001101), we get a palindrome (202211112202).

Subtracting 101100111101 from its reverse (101111001101), we obtain a square (10890000 = 3300²).

The spelling of 101100111101 in words is "one hundred one billion, one hundred million, one hundred eleven thousand, one hundred one".