2111002011111 has 16 divisors (see below), whose sum is σ = 3248614130688. Its totient is φ = 1194343428000.

The previous prime is 2111002011091. The next prime is 2111002011121. The reversal of 2111002011111 is 1111102001112.

It is not a de Polignac number, because 2111002011111 - 2¹⁹ = 2111001486823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111002011121) 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, 497640975 + ... + 497645216.

It is an arithmetic number, because the mean of its divisors is an integer number (203038383168).

Almost surely, 2^{2111002011111} is an apocalyptic number.

2111002011111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111002011111 is a deficient number, since it is larger than the sum of its proper divisors (1137612119577).

2111002011111 is a wasteful number, since it uses less digits than its factorization.

2111002011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995286302.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111002011111 its reverse (1111102001112), we get a palindrome (3222104012223).

Subtracting from 2111002011111 its reverse (1111102001112), we obtain a palindrome (999900009999).

The spelling of 2111002011111 in words is "two trillion, one hundred eleven billion, two million, eleven thousand, one hundred eleven".