211120120211011 has 16 divisors (see below), whose sum is σ = 232612184388096. Its totient is φ = 190011587500000.

The previous prime is 211120120210949. The next prime is 211120120211023. The reversal of 211120120211011 is 110112021021112.

It is a cyclic number.

It is not a de Polignac number, because 211120120211011 - 2⁹ = 211120120210499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211120120211911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5855286 + ... + 21366436.

It is an arithmetic number, because the mean of its divisors is an integer number (14538261524256).

Almost surely, 2^{211120120211011} is an apocalyptic number.

211120120211011 is a deficient number, since it is larger than the sum of its proper divisors (21492064177085).

211120120211011 is a wasteful number, since it uses less digits than its factorization.

211120120211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15523514.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211120120211011 its reverse (110112021021112), we get a palindrome (321232141232123).

The spelling of 211120120211011 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty million, two hundred eleven thousand, eleven".