221022102001020 has 192 divisors, whose sum is σ = 680025538805760. Its totient is φ = 53388341740800.

The previous prime is 221022102000983. The next prime is 221022102001067. The reversal of 221022102001020 is 20100201220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 64697565 + ... + 68028075.

It is an arithmetic number, because the mean of its divisors is an integer number (3541799681280).

Almost surely, 2^{221022102001020} is an apocalyptic number.

221022102001020 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 221022102001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340012769402880).

221022102001020 is an abundant number, since it is smaller than the sum of its proper divisors (459003436804740).

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

221022102001020 is a wasteful number, since it uses less digits than its factorization.

221022102001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333096 (or 3333094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221022102001020 its reverse (20100201220122), we get a palindrome (241122303221142).

The spelling of 221022102001020 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, one thousand, twenty".