2101101110111 has 4 divisors (see below), whose sum is σ = 2120737569192. Its totient is φ = 2081464651032.

The previous prime is 2101101110089. The next prime is 2101101110137. The reversal of 2101101110111 is 1110111011012.

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 2101101110111 - 2¹⁰ = 2101101109087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101101110092 and 2101101110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9818229380 + ... + 9818229593.

It is an arithmetic number, because the mean of its divisors is an integer number (530184392298).

Almost surely, 2^{2101101110111} is an apocalyptic number.

2101101110111 is a deficient number, since it is larger than the sum of its proper divisors (19636459081).

2101101110111 is a wasteful number, since it uses less digits than its factorization.

2101101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19636459080.

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

Adding to 2101101110111 its reverse (1110111011012), we get a palindrome (3211212121123).

Subtracting from 2101101110111 its reverse (1110111011012), we obtain a palindrome (990990099099).

The spelling of 2101101110111 in words is "two trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred eleven".