100200221101200 has 240 divisors, whose sum is σ = 350187783422400. Its totient is φ = 24288634828800.

The previous prime is 100200221101181. The next prime is 100200221101241. The reversal of 100200221101200 is 2101122002001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139416366 + ... + 140133234.

It is an arithmetic number, because the mean of its divisors is an integer number (1459115764260).

Almost surely, 2^{100200221101200} is an apocalyptic number.

100200221101200 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 100200221101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175093891711200).

100200221101200 is an abundant number, since it is smaller than the sum of its proper divisors (249987562321200).

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

100200221101200 is a wasteful number, since it uses less digits than its factorization.

100200221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727490 (or 727479 counting only the distinct ones).

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

Adding to 100200221101200 its reverse (2101122002001), we get a palindrome (102301343103201).

The spelling of 100200221101200 in words is "one hundred trillion, two hundred billion, two hundred twenty-one million, one hundred one thousand, two hundred".