2110020101111 has 16 divisors (see below), whose sum is σ = 2294304196800. Its totient is φ = 1928892849408.

The previous prime is 2110020101009. The next prime is 2110020101149. The reversal of 2110020101111 is 1111010200112.

It is a cyclic number.

It is not a de Polignac number, because 2110020101111 - 2¹⁸ = 2110019838967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110020101092 and 2110020101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110020101611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2524115 + ... + 3254411.

It is an arithmetic number, because the mean of its divisors is an integer number (143394012300).

Almost surely, 2^{2110020101111} is an apocalyptic number.

2110020101111 is a deficient number, since it is larger than the sum of its proper divisors (184284095689).

2110020101111 is a wasteful number, since it uses less digits than its factorization.

2110020101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732458.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110020101111 its reverse (1111010200112), we get a palindrome (3221030301223).

Subtracting from 2110020101111 its reverse (1111010200112), we obtain a palindrome (999009900999).

The spelling of 2110020101111 in words is "two trillion, one hundred ten billion, twenty million, one hundred one thousand, one hundred eleven".