2101112111111 has 8 divisors (see below), whose sum is σ = 2262754705680. Its totient is φ = 1939472171712.

The previous prime is 2101112111099. The next prime is 2101112111159. The reversal of 2101112111111 is 1111112111012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101112111111 - 2¹⁰ = 2101112110087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112114111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166720 + ... + 2358698.

It is an arithmetic number, because the mean of its divisors is an integer number (282844338210).

Almost surely, 2^{2101112111111} is an apocalyptic number.

2101112111111 is a deficient number, since it is larger than the sum of its proper divisors (161642594569).

2101112111111 is a wasteful number, since it uses less digits than its factorization.

2101112111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327585.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 2101112111111 its reverse (1111112111012), we get a palindrome (3212224222123).

Subtracting from 2101112111111 its reverse (1111112111012), we obtain a palindrome (990000000099).

The spelling of 2101112111111 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred eleven".