103200211100 has 144 divisors (see below), whose sum is σ = 270828665856. Its totient is φ = 33367488000.

The previous prime is 103200211097. The next prime is 103200211111. The reversal of 103200211100 is 1112002301.

103200211100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097960 + ... + 1188240.

It is an arithmetic number, because the mean of its divisors is an integer number (1880754624).

Almost surely, 2^103200211100 is an apocalyptic number.

103200211100 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 103200211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135414332928).

103200211100 is an abundant number, since it is smaller than the sum of its proper divisors (167628454756).

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

103200211100 is a wasteful number, since it uses less digits than its factorization.

103200211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90396 (or 90389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 103200211100 its reverse (1112002301), we get a palindrome (104312213401).

The spelling of 103200211100 in words is "one hundred three billion, two hundred million, two hundred eleven thousand, one hundred".