2111120111101 has 4 divisors (see below), whose sum is σ = 2116134648604. Its totient is φ = 2106105573600.

The previous prime is 2111120111047. The next prime is 2111120111153. The reversal of 2111120111101 is 1011110211112.

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

It can be written as a sum of positive squares in 2 ways, for example, as 622473660900 + 1488646450201 = 788970^2 + 1220101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111120111101 - 2¹³ = 2111120102909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111123111101) 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, 2507268120 + ... + 2507268961.

It is an arithmetic number, because the mean of its divisors is an integer number (529033662151).

Almost surely, 2^{2111120111101} is an apocalyptic number.

It is an amenable number.

2111120111101 is a deficient number, since it is larger than the sum of its proper divisors (5014537503).

2111120111101 is an equidigital number, since it uses as much as digits as its factorization.

2111120111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014537502.

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

Adding to 2111120111101 its reverse (1011110211112), we get a palindrome (3122230322213).

The spelling of 2111120111101 in words is "two trillion, one hundred eleven billion, one hundred twenty million, one hundred eleven thousand, one hundred one".