100110210200 has 384 divisors, whose sum is σ = 315669795840. Its totient is φ = 28512000000.

The previous prime is 100110210191. The next prime is 100110210241. The reversal of 100110210200 is 2012011001.

100110210200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20217725 + ... + 20222675.

It is an arithmetic number, because the mean of its divisors is an integer number (822056760).

Almost surely, 2^100110210200 is an apocalyptic number.

100110210200 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 100110210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157834897920).

100110210200 is an abundant number, since it is smaller than the sum of its proper divisors (215559585640).

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

100110210200 is a wasteful number, since it uses less digits than its factorization.

100110210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5090 counting only the distinct ones).

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

Adding to 100110210200 its reverse (2012011001), we get a palindrome (102122221201).

It can be divided in two parts, 1001 and 10210200, that added together give a palindrome (10211201).

The spelling of 100110210200 in words is "one hundred billion, one hundred ten million, two hundred ten thousand, two hundred".