221100022220112 has 200 divisors, whose sum is σ = 731604078169536. Its totient is φ = 63149129155584.

The previous prime is 221100022220101. The next prime is 221100022220137. The reversal of 221100022220112 is 211022220001122.

It is a happy number.

221100022220112 is a `hidden beast` number, since 221 + 10 + 0 + 0 + 222 + 201 + 12 = 666.

It is a super-3 number, since 3×221100022220112³ (a number of 44 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 21399583 + ... + 30002369.

Almost surely, 2^{221100022220112} 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 221100022220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365802039084768).

221100022220112 is an abundant number, since it is smaller than the sum of its proper divisors (510504055949424).

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

221100022220112 is a wasteful number, since it uses less digits than its factorization.

221100022220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605647 (or 8605632 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221100022220112 its reverse (211022220001122), we get a palindrome (432122242221234).

The spelling of 221100022220112 in words is "two hundred twenty-one trillion, one hundred billion, twenty-two million, two hundred twenty thousand, one hundred twelve".