221001030 has 48 divisors (see below), whose sum is σ = 577165680. Its totient is φ = 58670784.

The previous prime is 221000981. The next prime is 221001031. The reversal of 221001030 is 30100122.

It is a happy number.

It is a super-3 number, since 3×221001030³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15249 + ... + 25971.

It is an arithmetic number, because the mean of its divisors is an integer number (12024285).

Almost surely, 2^221001030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288582840).

221001030 is an abundant number, since it is smaller than the sum of its proper divisors (356164650).

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

221001030 is a wasteful number, since it uses less digits than its factorization.

221001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965 (or 10962 counting only the distinct ones).

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

The square root of 221001030 is about 14866.1033899270. The cubic root of 221001030 is about 604.5952988640.

Adding to 221001030 its reverse (30100122), we get a palindrome (251101152).

The spelling of 221001030 in words is "two hundred twenty-one million, one thousand, thirty".