2111101112211 has 32 divisors (see below), whose sum is σ = 3464629152768. Its totient is φ = 1113464880000.

The previous prime is 2111101112191. The next prime is 2111101112251. The reversal of 2111101112211 is 1122111011112.

It is not a de Polignac number, because 2111101112211 - 2¹³ = 2111101104019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2111101112251) 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, 3472845 + ... + 4035201.

It is an arithmetic number, because the mean of its divisors is an integer number (108269661024).

Almost surely, 2^{2111101112211} is an apocalyptic number.

2111101112211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111101112211 is a deficient number, since it is larger than the sum of its proper divisors (1353528040557).

2111101112211 is a wasteful number, since it uses less digits than its factorization.

2111101112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576131.

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

Adding to 2111101112211 its reverse (1122111011112), we get a palindrome (3233212123323).

The spelling of 2111101112211 in words is "two trillion, one hundred eleven billion, one hundred one million, one hundred twelve thousand, two hundred eleven".