100221100002 has 48 divisors (see below), whose sum is σ = 217684137528. Its totient is φ = 33324295680.

The previous prime is 100221099983. The next prime is 100221100009. The reversal of 100221100002 is 200001122001.

It can be written as a sum of positive squares in 4 ways, for example, as 99817451721 + 403648281 = 315939^2 + 20091^2 .

It is a super-2 number, since 2×100221100002² (a number of 23 digits) contains 22 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 (100221100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17214252 + ... + 17220072.

Almost surely, 2^100221100002 is an apocalyptic number.

100221100002 is an abundant number, since it is smaller than the sum of its proper divisors (117463037526).

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

100221100002 is a wasteful number, since it uses less digits than its factorization.

100221100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8032 counting only the distinct ones).

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

Adding to 100221100002 its reverse (200001122001), we get a palindrome (300222222003).

The spelling of 100221100002 in words is "one hundred billion, two hundred twenty-one million, one hundred thousand, two".