2110120011 has 32 divisors (see below), whose sum is σ = 3240115200. Its totient is φ = 1355628960.

The previous prime is 2110120007. The next prime is 2110120013. The reversal of 2110120011 is 1100210112.

It is a happy number.

It is not a de Polignac number, because 2110120011 - 2² = 2110120007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2110119975 and 2110120002.

It is not an unprimeable number, because it can be changed into a prime (2110120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457326 + ... + 461916.

It is an arithmetic number, because the mean of its divisors is an integer number (101253600).

Almost surely, 2^2110120011 is an apocalyptic number.

2110120011 is a deficient number, since it is larger than the sum of its proper divisors (1129995189).

2110120011 is a wasteful number, since it uses less digits than its factorization.

2110120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2110120011 is about 45936.0426136166. The cubic root of 2110120011 is about 1282.6329290075.

Adding to 2110120011 its reverse (1100210112), we get a palindrome (3210330123).

The spelling of 2110120011 in words is "two billion, one hundred ten million, one hundred twenty thousand, eleven".