221001100002 has 160 divisors (see below), whose sum is σ = 544123920384. Its totient is φ = 66740889600.

The previous prime is 221001099997. The next prime is 221001100007. The reversal of 221001100002 is 200001100122.

221001100002 is digitally balanced in base 2, 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 (221001099997) and next prime (221001100007).

It is a super-4 number, since 4×221001100002⁴ (a number of 46 digits) contains 4444 as substring.

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 (221001100007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 16299658 + ... + 16313210.

Almost surely, 2^221001100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272061960192).

221001100002 is an abundant number, since it is smaller than the sum of its proper divisors (323122820382).

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

221001100002 is a wasteful number, since it uses less digits than its factorization.

221001100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13806 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221001100002 its reverse (200001100122), we get a palindrome (421002200124).

The spelling of 221001100002 in words is "two hundred twenty-one billion, one million, one hundred thousand, two".