211100001103300 has 72 divisors (see below), whose sum is σ = 463945740572160. Its totient is φ = 83360325984000.

The previous prime is 211100001103267. The next prime is 211100001103301. The reversal of 211100001103300 is 3301100001112.

It is a super-2 number, since 2×211100001103300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211100001103301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59314200 + ... + 62772400.

It is an arithmetic number, because the mean of its divisors is an integer number (6443690841280).

Almost surely, 2^{211100001103300} is an apocalyptic number.

211100001103300 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 211100001103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231972870286080).

211100001103300 is an abundant number, since it is smaller than the sum of its proper divisors (252845739468860).

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

211100001103300 is a wasteful number, since it uses less digits than its factorization.

211100001103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466021 (or 3466014 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 211100001103300 its reverse (3301100001112), we get a palindrome (214401101104412).

The spelling of 211100001103300 in words is "two hundred eleven trillion, one hundred billion, one million, one hundred three thousand, three hundred".