2110110002011 has 16 divisors (see below), whose sum is σ = 2376259043328. Its totient is φ = 1856351145600.

The previous prime is 2110110001997. The next prime is 2110110002041. The reversal of 2110110002011 is 1102000110112.

It is a cyclic number.

It is not a de Polignac number, because 2110110002011 - 2¹⁵ = 2110109969243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2110110002041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18318051 + ... + 18432883.

It is an arithmetic number, because the mean of its divisors is an integer number (148516190208).

Almost surely, 2^{2110110002011} is an apocalyptic number.

2110110002011 is a deficient number, since it is larger than the sum of its proper divisors (266149041317).

2110110002011 is a wasteful number, since it uses less digits than its factorization.

2110110002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168762.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110110002011 its reverse (1102000110112), we get a palindrome (3212110112123).

The spelling of 2110110002011 in words is "two trillion, one hundred ten billion, one hundred ten million, two thousand, eleven".