2120111100211 has 8 divisors (see below), whose sum is σ = 2331775220544. Its totient is φ = 1915386787200.

The previous prime is 2120111100199. The next prime is 2120111100229. The reversal of 2120111100211 is 1120011110212.

It is a happy number.

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 2120111100211 - 2¹⁵ = 2120111067443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120111100191 and 2120111100200.

It is not an unprimeable number, because it can be changed into a prime (2120111100311) 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 7 ways as a sum of consecutive naturals, for example, 1734951190 + ... + 1734952411.

It is an arithmetic number, because the mean of its divisors is an integer number (291471902568).

Almost surely, 2^{2120111100211} is an apocalyptic number.

2120111100211 is a deficient number, since it is larger than the sum of its proper divisors (211664120333).

2120111100211 is a wasteful number, since it uses less digits than its factorization.

2120111100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469903661.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2120111100211 its reverse (1120011110212), we get a palindrome (3240122210423).

The spelling of 2120111100211 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred thousand, two hundred eleven".