2111201110111 has 8 divisors (see below), whose sum is σ = 2123588048400. Its totient is φ = 2098822115520.

The previous prime is 2111201110087. The next prime is 2111201110159. The reversal of 2111201110111 is 1110111021112.

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 2111201110111 - 2²⁹ = 2110664239199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111201110091 and 2111201110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111201110181) 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 7 ways as a sum of consecutive naturals, for example, 1452406 + ... + 2516323.

It is an arithmetic number, because the mean of its divisors is an integer number (265448506050).

Almost surely, 2^{2111201110111} is an apocalyptic number.

2111201110111 is a deficient number, since it is larger than the sum of its proper divisors (12386938289).

2111201110111 is a wasteful number, since it uses less digits than its factorization.

2111201110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971849.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2111201110111 its reverse (1110111021112), we get a palindrome (3221312131223).

It can be divided in two parts, 211120 and 1110111, that added together give a palindrome (1321231).

The spelling of 2111201110111 in words is "two trillion, one hundred eleven billion, two hundred one million, one hundred ten thousand, one hundred eleven".