102011100200 has 96 divisors (see below), whose sum is σ = 241628909760. Its totient is φ = 40044864000.

The previous prime is 102011100199. The next prime is 102011100209. The reversal of 102011100200 is 2001110201.

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 (102011100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2486252 + ... + 2526948.

It is an arithmetic number, because the mean of its divisors is an integer number (2516967810).

Almost surely, 2^102011100200 is an apocalyptic number.

102011100200 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 102011100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120814454880).

102011100200 is an abundant number, since it is smaller than the sum of its proper divisors (139617809560).

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

102011100200 is a wasteful number, since it uses less digits than its factorization.

102011100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40947 (or 40938 counting only the distinct ones).

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

Adding to 102011100200 its reverse (2001110201), we get a palindrome (104012210401).

The spelling of 102011100200 in words is "one hundred two billion, eleven million, one hundred thousand, two hundred".