100220112010200 has 384 divisors, whose sum is σ = 383480300689920. Its totient is φ = 21084400742400.

The previous prime is 100220112010199. The next prime is 100220112010241. The reversal of 100220112010200 is 2010211022001.

100220112010200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16301340 + ... + 21591060.

It is an arithmetic number, because the mean of its divisors is an integer number (998646616380).

Almost surely, 2^{100220112010200} is an apocalyptic number.

100220112010200 is a gapful number since it is divisible by the number (10) 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 100220112010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191740150344960).

100220112010200 is an abundant number, since it is smaller than the sum of its proper divisors (283260188679720).

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

100220112010200 is a wasteful number, since it uses less digits than its factorization.

100220112010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290107 (or 5290098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100220112010200 its reverse (2010211022001), we get a palindrome (102230323032201).

The spelling of 100220112010200 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, ten thousand, two hundred".