100200201000200 has 384 divisors, whose sum is σ = 283674443673600. Its totient is φ = 32131233792000.

The previous prime is 100200201000191. The next prime is 100200201000203. The reversal of 100200201000200 is 2000102002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100200201000203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4641251006 + ... + 4641272594.

It is an arithmetic number, because the mean of its divisors is an integer number (738735530400).

Almost surely, 2^{100200201000200} is an apocalyptic number.

100200201000200 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 100200201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141837221836800).

100200201000200 is an abundant number, since it is smaller than the sum of its proper divisors (183474242673400).

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

100200201000200 is a wasteful number, since it uses less digits than its factorization.

100200201000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22841 (or 22832 counting only the distinct ones).

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

Adding to 100200201000200 its reverse (2000102002001), we get a palindrome (102200303002201).

The spelling of 100200201000200 in words is "one hundred trillion, two hundred billion, two hundred one million, two hundred", and thus it is an aban number.