221020101000200 has 96 divisors (see below), whose sum is σ = 516307222928160. Its totient is φ = 87989290905600.

The previous prime is 221020101000137. The next prime is 221020101000247. The reversal of 221020101000200 is 2000101020122.

It is a happy number.

It is a super-2 number, since 2×221020101000200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135890984 + ... + 137507816.

It is an arithmetic number, because the mean of its divisors is an integer number (5378200238835).

Almost surely, 2^{221020101000200} is an apocalyptic number.

221020101000200 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 221020101000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258153611464080).

221020101000200 is an abundant number, since it is smaller than the sum of its proper divisors (295287121927960).

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

221020101000200 is a wasteful number, since it uses less digits than its factorization.

221020101000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620087 (or 1620078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221020101000200 its reverse (2000101020122), we get a palindrome (223020202020322).

The spelling of 221020101000200 in words is "two hundred twenty-one trillion, twenty billion, one hundred one million, two hundred", and thus it is an aban number.