211111101111112 has 16 divisors (see below), whose sum is σ = 400843862870400. Its totient is φ = 104219404345680.

The previous prime is 211111101111073. The next prime is 211111101111121.

211111101111112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×211111101111112³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167018275564 + ... + 167018276827.

It is an arithmetic number, because the mean of its divisors is an integer number (25052741429400).

Almost surely, 2^{211111101111112} is an apocalyptic number.

It is an amenable number.

211111101111112 is a deficient number, since it is larger than the sum of its proper divisors (189732761759288).

211111101111112 is a wasteful number, since it uses less digits than its factorization.

211111101111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334036552476 (or 334036552472 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 16.

It can be divided in two parts, 21111110 and 1111112, that added together give a palindrome (22222222).

The spelling of 211111101111112 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred twelve".