221100122200212 has 144 divisors (see below), whose sum is σ = 569832106072320. Its totient is φ = 72268800307200.

The previous prime is 221100122200159. The next prime is 221100122200261. The reversal of 221100122200212 is 212002221001122.

It is a happy number.

221100122200212 is a `hidden beast` number, since 22 + 110 + 0 + 122 + 200 + 212 = 666.

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, 2229209262 + ... + 2229308442.

It is an arithmetic number, because the mean of its divisors is an integer number (3957167403280).

Almost surely, 2^{221100122200212} 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 221100122200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284916053036160).

221100122200212 is an abundant number, since it is smaller than the sum of its proper divisors (348731983872108).

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

221100122200212 is a wasteful number, since it uses less digits than its factorization.

221100122200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103974 (or 103969 counting only the distinct ones).

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

Adding to 221100122200212 its reverse (212002221001122), we get a palindrome (433102343201334).

The spelling of 221100122200212 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty-two million, two hundred thousand, two hundred twelve".