100221102001220 has 12 divisors (see below), whose sum is σ = 210464314202604. Its totient is φ = 40088440800480.

The previous prime is 100221102001159. The next prime is 100221102001289. The reversal of 100221102001220 is 22100201122001.

It can be written as a sum of positive squares in 2 ways, for example, as 74886731378944 + 25334370622276 = 8653712^2 + 5033326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100221102001195 and 100221102001204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505527550011 + ... + 2505527550050.

It is an arithmetic number, because the mean of its divisors is an integer number (17538692850217).

Almost surely, 2^{100221102001220} is an apocalyptic number.

100221102001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221102001220 is an abundant number, since it is smaller than the sum of its proper divisors (110243212201384).

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

100221102001220 is a wasteful number, since it uses less digits than its factorization.

100221102001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011055100070 (or 5011055100068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221102001220 its reverse (22100201122001), we get a palindrome (122321303123221).

The spelling of 100221102001220 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, one thousand, two hundred twenty".