10100101200200 has 96 divisors (see below), whose sum is σ = 25738940682720. Its totient is φ = 3655357440000.

The previous prime is 10100101200191. The next prime is 10100101200311. The reversal of 10100101200200 is 200210100101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10414841 + ... + 11343240.

It is an arithmetic number, because the mean of its divisors is an integer number (268113965445).

Almost surely, 2^{10100101200200} is an apocalyptic number.

10100101200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101200200 is an abundant number, since it is smaller than the sum of its proper divisors (15638839482520).

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

10100101200200 is a wasteful number, since it uses less digits than its factorization.

10100101200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21758319 (or 21758310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100101200200 its reverse (200210100101), we get a palindrome (10300311300301).

It can be divided in two parts, 10100101 and 200200, that added together give a palindrome (10300301).

The spelling of 10100101200200 in words is "ten trillion, one hundred billion, one hundred one million, two hundred thousand, two hundred".