201101100110111 has 4 divisors (see below), whose sum is σ = 201110790349152. Its totient is φ = 201091409871072.

The previous prime is 201101100110059. The next prime is 201101100110143. The reversal of 201101100110111 is 111011001101102.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 201101100110111 - 2¹⁴ = 201101100093727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201101100110092 and 201101100110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101100110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4845088391 + ... + 4845129896.

It is an arithmetic number, because the mean of its divisors is an integer number (50277697587288).

Almost surely, 2^{201101100110111} is an apocalyptic number.

201101100110111 is a deficient number, since it is larger than the sum of its proper divisors (9690239041).

201101100110111 is an equidigital number, since it uses as much as digits as its factorization.

201101100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690239040.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 201101100110111 its reverse (111011001101102), we get a palindrome (312112101211213).

Subtracting from 201101100110111 its reverse (111011001101102), we obtain a palindrome (90090099009009).

The spelling of 201101100110111 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred eleven".