100220101200 has 360 divisors, whose sum is σ = 361442678688. Its totient is φ = 26668362240.

The previous prime is 100220101109. The next prime is 100220101243. The reversal of 100220101200 is 2101022001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65803639 + ... + 65805161.

Almost surely, 2^100220101200 is an apocalyptic number.

100220101200 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 100220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180721339344).

100220101200 is an abundant number, since it is smaller than the sum of its proper divisors (261222577488).

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

100220101200 is a wasteful number, since it uses less digits than its factorization.

100220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220101200 its reverse (2101022001), we get a palindrome (102321123201).

The spelling of 100220101200 in words is "one hundred billion, two hundred twenty million, one hundred one thousand, two hundred".