2121101110111 has 8 divisors (see below), whose sum is σ = 2122111802880. Its totient is φ = 2120090609112.

The previous prime is 2121101110109. The next prime is 2121101110151. The reversal of 2121101110111 is 1110111011212.

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 2121101110111 - 2¹ = 2121101110109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121101110091 and 2121101110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121101110151) 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 7 ways as a sum of consecutive naturals, for example, 25155420 + ... + 25239598.

It is an arithmetic number, because the mean of its divisors is an integer number (265263975360).

Almost surely, 2^{2121101110111} is an apocalyptic number.

2121101110111 is a deficient number, since it is larger than the sum of its proper divisors (1010692769).

2121101110111 is an equidigital number, since it uses as much as digits as its factorization.

2121101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95885.

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

Adding to 2121101110111 its reverse (1110111011212), we get a palindrome (3231212121323).

The spelling of 2121101110111 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand, one hundred eleven".