100221102001212 has 96 divisors (see below), whose sum is σ = 244479968409600. Its totient is φ = 31893911620032.

The previous prime is 100221102001159. The next prime is 100221102001289. The reversal of 100221102001212 is 212100201122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221102001191 and 100221102001200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483525943 + ... + 483733169.

It is an arithmetic number, because the mean of its divisors is an integer number (2546666337600).

Almost surely, 2^{100221102001212} is an apocalyptic number.

100221102001212 is a gapful number since it is divisible by the number (12) 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 100221102001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122239984204800).

100221102001212 is an abundant number, since it is smaller than the sum of its proper divisors (144258866408388).

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

100221102001212 is a wasteful number, since it uses less digits than its factorization.

100221102001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210575 (or 210573 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100221102001212 its reverse (212100201122001), we get a palindrome (312321303123213).

The spelling of 100221102001212 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, one thousand, two hundred twelve".