2120111120211 has 64 divisors (see below), whose sum is σ = 3404849872896. Its totient is φ = 1147277577600.

The previous prime is 2120111120209. The next prime is 2120111120221. The reversal of 2120111120211 is 1120211110212.

It is a happy number.

It is not a de Polignac number, because 2120111120211 - 2¹ = 2120111120209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120111120201) 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 63 ways as a sum of consecutive naturals, for example, 19410925 + ... + 19519841.

It is an arithmetic number, because the mean of its divisors is an integer number (53200779264).

Almost surely, 2^{2120111120211} is an apocalyptic number.

2120111120211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120111120211 is a deficient number, since it is larger than the sum of its proper divisors (1284738752685).

2120111120211 is a wasteful number, since it uses less digits than its factorization.

2120111120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109352.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2120111120211 its reverse (1120211110212), we get a palindrome (3240322230423).

Subtracting from 2120111120211 its reverse (1120211110212), we obtain a palindrome (999900009999).

The spelling of 2120111120211 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty thousand, two hundred eleven".