100221032010 has 64 divisors (see below), whose sum is σ = 262429787520. Its totient is φ = 24292961280.

The previous prime is 100221031993. The next prime is 100221032029. The reversal of 100221032010 is 10230122001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3738414 + ... + 3765126.

It is an arithmetic number, because the mean of its divisors is an integer number (4100465430).

Almost surely, 2^100221032010 is an apocalyptic number.

100221032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221032010 is an abundant number, since it is smaller than the sum of its proper divisors (162208755510).

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

100221032010 is a wasteful number, since it uses less digits than its factorization.

100221032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38103.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100221032010 its reverse (10230122001), we get a palindrome (110451154011).

It can be divided in two parts, 1002 and 21032010, that added together give a palindrome (21033012).

The spelling of 100221032010 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, ten".