2111201112111 has 32 divisors (see below), whose sum is σ = 3576294371328. Its totient is φ = 1077677982720.

The previous prime is 2111201112079. The next prime is 2111201112113. The reversal of 2111201112111 is 1112111021112.

It is not a de Polignac number, because 2111201112111 - 2⁵ = 2111201112079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111201112113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124722786 + ... + 124739711.

It is an arithmetic number, because the mean of its divisors is an integer number (111759199104).

Almost surely, 2^{2111201112111} is an apocalyptic number.

2111201112111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111201112111 is a deficient number, since it is larger than the sum of its proper divisors (1465093259217).

2111201112111 is a wasteful number, since it uses less digits than its factorization.

2111201112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249462551.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2111201112111 its reverse (1112111021112), we get a palindrome (3223312133223).

Subtracting from 2111201112111 its reverse (1112111021112), we obtain a palindrome (999090090999).

It can be divided in two parts, 211120 and 1112111, that added together give a palindrome (1323231).

The spelling of 2111201112111 in words is "two trillion, one hundred eleven billion, two hundred one million, one hundred twelve thousand, one hundred eleven".