211110022112 has 96 divisors (see below), whose sum is σ = 462325449600. Its totient is φ = 94080268800.

The previous prime is 211110022091. The next prime is 211110022121. The reversal of 211110022112 is 211220011112.

It is a super-2 number, since 2×211110022112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7857662 + ... + 7884482.

It is an arithmetic number, because the mean of its divisors is an integer number (4815890100).

Almost surely, 2^211110022112 is an apocalyptic number.

211110022112 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 211110022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231162724800).

211110022112 is an abundant number, since it is smaller than the sum of its proper divisors (251215427488).

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

211110022112 is a wasteful number, since it uses less digits than its factorization.

211110022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27280 (or 27272 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211110022112 its reverse (211220011112), we get a palindrome (422330033224).

The spelling of 211110022112 in words is "two hundred eleven billion, one hundred ten million, twenty-two thousand, one hundred twelve".