100221535560 has 128 divisors (see below), whose sum is σ = 310488192000. Its totient is φ = 25853230080.

The previous prime is 100221535549. The next prime is 100221535567. The reversal of 100221535560 is 65535122001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100221535567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14418966 + ... + 14425914.

It is an arithmetic number, because the mean of its divisors is an integer number (2425689000).

Almost surely, 2^100221535560 is an apocalyptic number.

100221535560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221535560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155244096000).

100221535560 is an abundant number, since it is smaller than the sum of its proper divisors (210266656440).

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

100221535560 is a wasteful number, since it uses less digits than its factorization.

100221535560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 100221535560 its reverse (65535122001), we get a palindrome (165756657561).

The spelling of 100221535560 in words is "one hundred billion, two hundred twenty-one million, five hundred thirty-five thousand, five hundred sixty".