221020002 has 80 divisors (see below), whose sum is σ = 574643520. Its totient is φ = 62184672.

The previous prime is 221020001. The next prime is 221020003. The reversal of 221020002 is 200020122.

221020002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221020001) and next prime (221020003).

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

It is not an unprimeable number, because it can be changed into a prime (221020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74524 + ... + 77432.

It is an arithmetic number, because the mean of its divisors is an integer number (7183044).

Almost surely, 2^221020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287321760).

221020002 is an abundant number, since it is smaller than the sum of its proper divisors (353623518).

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

221020002 is a wasteful number, since it uses less digits than its factorization.

221020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 221020002 is about 14866.7414721586. The cubic root of 221020002 is about 604.6125990154.

Adding to 221020002 its reverse (200020122), we get a palindrome (421040124).

The spelling of 221020002 in words is "two hundred twenty-one million, twenty thousand, two".