2101120800 has 144 divisors (see below), whose sum is σ = 6870810240. Its totient is φ = 557706240.

The previous prime is 2101120787. The next prime is 2101120829. The reversal of 2101120800 is 80211012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101120800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547689 + ... + 551511.

It is an arithmetic number, because the mean of its divisors is an integer number (47713960).

Almost surely, 2^2101120800 is an apocalyptic number.

2101120800 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 2101120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435405120).

2101120800 is an abundant number, since it is smaller than the sum of its proper divisors (4769689440).

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

2101120800 is a wasteful number, since it uses less digits than its factorization.

2101120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2101120800 is about 45837.9842488738. The cubic root of 2101120800 is about 1280.8069456005.

Adding to 2101120800 its reverse (80211012), we get a palindrome (2181331812).

The spelling of 2101120800 in words is "two billion, one hundred one million, one hundred twenty thousand, eight hundred".