221200102020 has 192 divisors, whose sum is σ = 662457470976. Its totient is φ = 55027315200.

The previous prime is 221200101977. The next prime is 221200102021. The reversal of 221200102020 is 20201002122.

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 = 221200101987 and 221200102005.

It is not an unprimeable number, because it can be changed into a prime (221200102021) 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, 9326617 + ... + 9350303.

It is an arithmetic number, because the mean of its divisors is an integer number (3450299328).

Almost surely, 2^221200102020 is an apocalyptic number.

221200102020 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 221200102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331228735488).

221200102020 is an abundant number, since it is smaller than the sum of its proper divisors (441257368956).

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

221200102020 is a wasteful number, since it uses less digits than its factorization.

221200102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23890 (or 23888 counting only the distinct ones).

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

Adding to 221200102020 its reverse (20201002122), we get a palindrome (241401104142).

The spelling of 221200102020 in words is "two hundred twenty-one billion, two hundred million, one hundred two thousand, twenty".