2113200100 has 144 divisors (see below), whose sum is σ = 5182543296. Its totient is φ = 741312000.

The previous prime is 2113200097. The next prime is 2113200107. The reversal of 2113200100 is 10023112.

It is a super-2 number, since 2×2113200100² = 8931229325280020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2113200107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3905830 + ... + 3906370.

It is an arithmetic number, because the mean of its divisors is an integer number (35989884).

Almost surely, 2^2113200100 is an apocalyptic number.

2113200100 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 2113200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591271648).

2113200100 is an abundant number, since it is smaller than the sum of its proper divisors (3069343196).

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

2113200100 is a wasteful number, since it uses less digits than its factorization.

2113200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2113200100 is about 45969.5562301835. The cubic root of 2113200100 is about 1283.2567012580.

Adding to 2113200100 its reverse (10023112), we get a palindrome (2123223212).

The spelling of 2113200100 in words is "two billion, one hundred thirteen million, two hundred thousand, one hundred".