211110011112 has 512 divisors, whose sum is σ = 730779033600. Its totient is φ = 49044787200.

The previous prime is 211110011107. The next prime is 211110011113.

211110011112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211110011113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390221562 + ... + 390222102.

It is an arithmetic number, because the mean of its divisors is an integer number (1427302800).

Almost surely, 2^211110011112 is an apocalyptic number.

211110011112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365389516800).

211110011112 is an abundant number, since it is smaller than the sum of its proper divisors (519669022488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211110011112 is a wasteful number, since it uses less digits than its factorization.

211110011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 2111100 and 11112, that added together give a palindrome (2122212).

The spelling of 211110011112 in words is "two hundred eleven billion, one hundred ten million, eleven thousand, one hundred twelve".