102101100200 has 96 divisors (see below), whose sum is σ = 259221980160. Its totient is φ = 37090905600.

The previous prime is 102101100161. The next prime is 102101100229. The reversal of 102101100200 is 2001101201.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250137 + ... + 2295063.

It is an arithmetic number, because the mean of its divisors is an integer number (2700228960).

Almost surely, 2^102101100200 is an apocalyptic number.

102101100200 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 102101100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129610990080).

102101100200 is an abundant number, since it is smaller than the sum of its proper divisors (157120879960).

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

102101100200 is a wasteful number, since it uses less digits than its factorization.

102101100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45987 (or 45978 counting only the distinct ones).

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

Adding to 102101100200 its reverse (2001101201), we get a palindrome (104102201401).

The spelling of 102101100200 in words is "one hundred two billion, one hundred one million, one hundred thousand, two hundred".