221101201020 has 192 divisors, whose sum is σ = 733959475200. Its totient is φ = 48680386560.

The previous prime is 221101201019. The next prime is 221101201021. The reversal of 221101201020 is 20102101122.

It is an interprime number because it is at equal distance from previous prime (221101201019) and next prime (221101201021).

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

It is a junction number, because it is equal to n+sod(n) for n = 221101200987 and 221101201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279116 + ... + 1441644.

It is an arithmetic number, because the mean of its divisors is an integer number (3822705600).

Almost surely, 2^221101201020 is an apocalyptic number.

221101201020 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 221101201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366979737600).

221101201020 is an abundant number, since it is smaller than the sum of its proper divisors (512858274180).

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

221101201020 is a wasteful number, since it uses less digits than its factorization.

221101201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162668 (or 162666 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221101201020 its reverse (20102101122), we get a palindrome (241203302142).

The spelling of 221101201020 in words is "two hundred twenty-one billion, one hundred one million, two hundred one thousand, twenty".