221222022001100 has 144 divisors (see below), whose sum is σ = 496942107002880. Its totient is φ = 85391845401600.

The previous prime is 221222022001073. The next prime is 221222022001177. The reversal of 221222022001100 is 1100220222122.

It is a happy 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, 1958024411 + ... + 1958137389.

Almost surely, 2^{221222022001100} is an apocalyptic number.

221222022001100 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 221222022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248471053501440).

221222022001100 is an abundant number, since it is smaller than the sum of its proper divisors (275720085001780).

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

221222022001100 is a wasteful number, since it uses less digits than its factorization.

221222022001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114808 (or 114801 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221222022001100 its reverse (1100220222122), we get a palindrome (222322242223222).

The spelling of 221222022001100 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty-two million, one thousand, one hundred".