2113032211100 has 72 divisors (see below), whose sum is σ = 4788983485440. Its totient is φ = 807730559680.

The previous prime is 2113032211099. The next prime is 2113032211111. The reversal of 2113032211100 is 11122303112.

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 23 ways as a sum of consecutive naturals, for example, 2120441 + ... + 2953359.

It is an arithmetic number, because the mean of its divisors is an integer number (66513659520).

Almost surely, 2^{2113032211100} is an apocalyptic number.

2113032211100 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 2113032211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394491742720).

2113032211100 is an abundant number, since it is smaller than the sum of its proper divisors (2675951274340).

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

2113032211100 is a wasteful number, since it uses less digits than its factorization.

2113032211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834059 (or 834052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2113032211100 its reverse (11122303112), we get a palindrome (2124154514212).

The spelling of 2113032211100 in words is "two trillion, one hundred thirteen billion, thirty-two million, two hundred eleven thousand, one hundred".