211011121110112 has 24 divisors (see below), whose sum is σ = 415875322510200. Its totient is φ = 105391991583744.

The previous prime is 211011121110071. The next prime is 211011121110143.

211011121110112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3549000162 + ... + 3549059617.

It is an arithmetic number, because the mean of its divisors is an integer number (17328138437925).

Almost surely, 2^{211011121110112} is an apocalyptic number.

It is an amenable number.

211011121110112 is a deficient number, since it is larger than the sum of its proper divisors (204864201400088).

211011121110112 is an equidigital number, since it uses as much as digits as its factorization.

211011121110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098060718 (or 7098060710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

The spelling of 211011121110112 in words is "two hundred eleven trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".