211110221012112 has 120 divisors (see below), whose sum is σ = 606933316337400. Its totient is φ = 68451262894080.

The previous prime is 211110221012111. The next prime is 211110221012153. The reversal of 211110221012112 is 211210122011112.

It is a happy number.

211110221012112 is a `hidden beast` number, since 211 + 110 + 2 + 210 + 121 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19584660807936 + 191525560204176 = 4425456^2 + 13839276^2 .

It is a super-4 number, since 4×211110221012112⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211110221012111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16680162 + ... + 26465982.

It is an arithmetic number, because the mean of its divisors is an integer number (5057777636145).

Almost surely, 2^{211110221012112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110221012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303466658168700).

211110221012112 is an abundant number, since it is smaller than the sum of its proper divisors (395823095325288).

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

211110221012112 is a wasteful number, since it uses less digits than its factorization.

211110221012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789921 (or 9789912 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211110221012112 its reverse (211210122011112), we get a palindrome (422320343023224).

The spelling of 211110221012112 in words is "two hundred eleven trillion, one hundred ten billion, two hundred twenty-one million, twelve thousand, one hundred twelve".