100221200220102 has 256 divisors, whose sum is σ = 224878041400320. Its totient is φ = 29580686327808.

The previous prime is 100221200220079. The next prime is 100221200220107. The reversal of 100221200220102 is 201022002122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221200220107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47430760998 + ... + 47430763110.

It is an arithmetic number, because the mean of its divisors is an integer number (878429849220).

Almost surely, 2^{100221200220102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221200220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112439020700160).

100221200220102 is an abundant number, since it is smaller than the sum of its proper divisors (124656841180218).

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

100221200220102 is a wasteful number, since it uses less digits than its factorization.

100221200220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100221200220102 its reverse (201022002122001), we get a palindrome (301243202342103).

The spelling of 100221200220102 in words is "one hundred trillion, two hundred twenty-one billion, two hundred million, two hundred twenty thousand, one hundred two".