221110012002 has 128 divisors (see below), whose sum is σ = 502126490880. Its totient is φ = 64323072000.

The previous prime is 221110011949. The next prime is 221110012031. The reversal of 221110012002 is 200210011122.

221110012002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 106867024 + ... + 106869092.

It is an arithmetic number, because the mean of its divisors is an integer number (3922863210).

Almost surely, 2^221110012002 is an apocalyptic number.

221110012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221110012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251063245440).

221110012002 is an abundant number, since it is smaller than the sum of its proper divisors (281016478878).

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

221110012002 is a wasteful number, since it uses less digits than its factorization.

221110012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740.

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

Adding to 221110012002 its reverse (200210011122), we get a palindrome (421320023124).

The spelling of 221110012002 in words is "two hundred twenty-one billion, one hundred ten million, twelve thousand, two".