2111010101111 has 16 divisors (see below), whose sum is σ = 2123701493760. Its totient is φ = 2098367496480.

The previous prime is 2111010101093. The next prime is 2111010101131. The reversal of 2111010101111 is 1111010101112.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111010101111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111010101092 and 2111010101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111010101131) 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, 154182776 + ... + 154196466.

It is an arithmetic number, because the mean of its divisors is an integer number (132731343360).

Almost surely, 2^{2111010101111} is an apocalyptic number.

2111010101111 is a deficient number, since it is larger than the sum of its proper divisors (12691392649).

2111010101111 is a wasteful number, since it uses less digits than its factorization.

2111010101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2111010101111 its reverse (1111010101112), we get a palindrome (3222020202223).

Subtracting from 2111010101111 its reverse (1111010101112), we obtain a palindrome (999999999999).

The spelling of 2111010101111 in words is "two trillion, one hundred eleven billion, ten million, one hundred one thousand, one hundred eleven".