2100113231200 has 144 divisors (see below), whose sum is σ = 5274711928080. Its totient is φ = 816170065920.

The previous prime is 2100113231197. The next prime is 2100113231201. The reversal of 2100113231200 is 21323110012.

It is a super-2 number, since 2×2100113231200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100113231201) 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, 3644436 + ... + 4181164.

It is an arithmetic number, because the mean of its divisors is an integer number (36629943945).

Almost surely, 2^{2100113231200} is an apocalyptic number.

2100113231200 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 2100113231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637355964040).

2100113231200 is an abundant number, since it is smaller than the sum of its proper divisors (3174598696880).

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

2100113231200 is a wasteful number, since it uses less digits than its factorization.

2100113231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536889 (or 536876 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2100113231200 its reverse (21323110012), we get a palindrome (2121436341212).

The spelling of 2100113231200 in words is "two trillion, one hundred billion, one hundred thirteen million, two hundred thirty-one thousand, two hundred".