221021222211000 has 1024 divisors, whose sum is σ = 804395225088000. Its totient is φ = 56033561548800.

The previous prime is 221021222210993. The next prime is 221021222211067. The reversal of 221021222211000 is 112222120122.

It is a happy number.

221021222211000 is a `hidden beast` number, since 2 + 210 + 21 + 222 + 211 + 0 + 0 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 148038326254 + ... + 148038327746.

It is an arithmetic number, because the mean of its divisors is an integer number (785542212000).

Almost surely, 2^{221021222211000} is an apocalyptic number.

221021222211000 is a gapful number since it is divisible by the number (20) 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 221021222211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402197612544000).

221021222211000 is an abundant number, since it is smaller than the sum of its proper divisors (583374002877000).

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

221021222211000 is a wasteful number, since it uses less digits than its factorization.

221021222211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2818 counting only the distinct ones).

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

Adding to 221021222211000 its reverse (112222120122), we get a palindrome (221133444331122).

The spelling of 221021222211000 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred twenty-two million, two hundred eleven thousand".