221110011122112 has 336 divisors, whose sum is σ = 745283787348672. Its totient is φ = 61368628838400.

The previous prime is 221110011122107. The next prime is 221110011122179. The reversal of 221110011122112 is 211221110011122.

It is a happy number.

221110011122112 is a `hidden beast` number, since 221 + 1 + 100 + 111 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16461048 + ... + 26705544.

Almost surely, 2^{221110011122112} 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 221110011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372641893674336).

221110011122112 is an abundant number, since it is smaller than the sum of its proper divisors (524173776226560).

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

221110011122112 is a wasteful number, since it uses less digits than its factorization.

221110011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244676 (or 10244663 counting only the distinct ones).

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

Adding to 221110011122112 its reverse (211221110011122), we get a palindrome (432331121133234).

The spelling of 221110011122112 in words is "two hundred twenty-one trillion, one hundred ten billion, eleven million, one hundred twenty-two thousand, one hundred twelve".