2102113200 has 240 divisors, whose sum is σ = 7398562176. Its totient is φ = 505958400.

The previous prime is 2102113199. The next prime is 2102113219. The reversal of 2102113200 is 23112012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2102113200² = 8837759811228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2151112 + ... + 2152088.

Almost surely, 2^2102113200 is an apocalyptic number.

2102113200 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 2102113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699281088).

2102113200 is an abundant number, since it is smaller than the sum of its proper divisors (5296448976).

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

2102113200 is a wasteful number, since it uses less digits than its factorization.

2102113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2102113200 is about 45848.8080542995. The cubic root of 2102113200 is about 1281.0085638270.

Adding to 2102113200 its reverse (23112012), we get a palindrome (2125225212).

The spelling of 2102113200 in words is "two billion, one hundred two million, one hundred thirteen thousand, two hundred".