100221021220012 has 192 divisors, whose sum is σ = 225488763601920. Its totient is φ = 37852503552000.

The previous prime is 100221021219973. The next prime is 100221021220031. The reversal of 100221021220012 is 210022120122001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310950039 + ... + 311272177.

It is an arithmetic number, because the mean of its divisors is an integer number (1174420643760).

Almost surely, 2^{100221021220012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221021220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112744381800960).

100221021220012 is an abundant number, since it is smaller than the sum of its proper divisors (125267742381908).

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

100221021220012 is a wasteful number, since it uses less digits than its factorization.

100221021220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322472 (or 322470 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221021220012 its reverse (210022120122001), we get a palindrome (310243141342013).

It can be divided in two parts, 1002210 and 21220012, that added together give a palindrome (22222222).

The spelling of 100221021220012 in words is "one hundred trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty thousand, twelve".