221010022000020 has 192 divisors, whose sum is σ = 698423018711040. Its totient is φ = 51726288499200.

The previous prime is 221010021999979. The next prime is 221010022000087. The reversal of 221010022000020 is 20000220010122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228642649 + ... + 229607231.

It is an arithmetic number, because the mean of its divisors is an integer number (3637619889120).

Almost surely, 2^{221010022000020} is an apocalyptic number.

221010022000020 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 221010022000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349211509355520).

221010022000020 is an abundant number, since it is smaller than the sum of its proper divisors (477412996711020).

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

221010022000020 is a wasteful number, since it uses less digits than its factorization.

221010022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976606 (or 976604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221010022000020 its reverse (20000220010122), we get a palindrome (241010242010142).

The spelling of 221010022000020 in words is "two hundred twenty-one trillion, ten billion, twenty-two million, twenty", and thus it is an aban number.