21101100110111 has 8 divisors (see below), whose sum is σ = 24116582228640. Its totient is φ = 18085877803008.

The previous prime is 21101100110071. The next prime is 21101100110113. The reversal of 21101100110111 is 11101100110112.

It is a happy number.

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 21101100110111 - 2⁶ = 21101100110047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21101100110092 and 21101100110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101100110113) 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, 64778786 + ... + 65103711.

It is an arithmetic number, because the mean of its divisors is an integer number (3014572778580).

Almost surely, 2^{21101100110111} is an apocalyptic number.

21101100110111 is a deficient number, since it is larger than the sum of its proper divisors (3015482118529).

21101100110111 is a wasteful number, since it uses less digits than its factorization.

21101100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129905713.

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

Adding to 21101100110111 its reverse (11101100110112), we get a palindrome (32202200220223).

Subtracting from 21101100110111 its reverse (11101100110112), we obtain a palindrome (9999999999999).

The spelling of 21101100110111 in words is "twenty-one trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred eleven".