221031100032 has 64 divisors (see below), whose sum is σ = 587814494400. Its totient is φ = 73589110784.

The previous prime is 221031100019. The next prime is 221031100039. The reversal of 221031100032 is 230001130122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 221031099984 and 221031100020.

It is not an unprimeable number, because it can be changed into a prime (221031100039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20853 + ... + 665204.

It is an arithmetic number, because the mean of its divisors is an integer number (9184601475).

Almost surely, 2^221031100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221031100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293907247200).

221031100032 is an abundant number, since it is smaller than the sum of its proper divisors (366783394368).

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

221031100032 is an equidigital number, since it uses as much as digits as its factorization.

221031100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686913 (or 686901 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221031100032 its reverse (230001130122), we get a palindrome (451032230154).

The spelling of 221031100032 in words is "two hundred twenty-one billion, thirty-one million, one hundred thousand, thirty-two".