2101100010300 has 216 divisors, whose sum is σ = 6839900457936. Its totient is φ = 559456450560.

The previous prime is 2101100010293. The next prime is 2101100010319. The reversal of 2101100010300 is 30100011012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 16289662 + ... + 16418138.

Almost surely, 2^{2101100010300} is an apocalyptic number.

2101100010300 is a gapful number since it is divisible by the number (20) 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 2101100010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419950228968).

2101100010300 is an abundant number, since it is smaller than the sum of its proper divisors (4738800447636).

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

2101100010300 is a wasteful number, since it uses less digits than its factorization.

2101100010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129179 (or 129160 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2101100010300 its reverse (30100011012), we get a palindrome (2131200021312).

The spelling of 2101100010300 in words is "two trillion, one hundred one billion, one hundred million, ten thousand, three hundred".