100200200212000 has 384 divisors, whose sum is σ = 309047721615360. Its totient is φ = 31131173145600.

The previous prime is 100200200211959. The next prime is 100200200212027. The reversal of 100200200212000 is 212002002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 8141517 + ... + 16330483.

It is an arithmetic number, because the mean of its divisors is an integer number (804811775040).

Almost surely, 2^{100200200212000} is an apocalyptic number.

100200200212000 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 100200200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154523860807680).

100200200212000 is an abundant number, since it is smaller than the sum of its proper divisors (208847521403360).

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

100200200212000 is a wasteful number, since it uses less digits than its factorization.

100200200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189041 (or 8189023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100200200212000 its reverse (212002002001), we get a palindrome (100412202214001).

The spelling of 100200200212000 in words is "one hundred trillion, two hundred billion, two hundred million, two hundred twelve thousand".