221030100000 has 576 divisors, whose sum is σ = 817845154560. Its totient is φ = 58060800000.

The previous prime is 221030099989. The next prime is 221030100041. The reversal of 221030100000 is 1030122.

It is a happy number.

221030100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191699424 + ... + 191700576.

It is an arithmetic number, because the mean of its divisors is an integer number (1419870060).

Almost surely, 2^221030100000 is an apocalyptic number.

221030100000 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 221030100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408922577280).

221030100000 is an abundant number, since it is smaller than the sum of its proper divisors (596815054560).

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

221030100000 is an equidigital number, since it uses as much as digits as its factorization.

221030100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 221030100000 its reverse (1030122), we get a palindrome (221031130122).

The spelling of 221030100000 in words is "two hundred twenty-one billion, thirty million, one hundred thousand".