2101200000 has 384 divisors, whose sum is σ = 7458272640. Its totient is φ = 522240000.

The previous prime is 2101199963. The next prime is 2101200011. The reversal of 2101200000 is 21012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 20399949 + ... + 20400051.

It is an arithmetic number, because the mean of its divisors is an integer number (19422585).

Almost surely, 2^2101200000 is an apocalyptic number.

2101200000 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 2101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729136320).

2101200000 is an abundant number, since it is smaller than the sum of its proper divisors (5357072640).

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

2101200000 is an equidigital number, since it uses as much as digits as its factorization.

2101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2101200000 is about 45838.8481530677. The cubic root of 2101200000 is about 1280.8230383823.

Adding to 2101200000 its reverse (21012), we get a palindrome (2101221012).

2101200000 divided by its reverse (21012) gives a 5-th power (100000 = 10⁵).

The spelling of 2101200000 in words is "two billion, one hundred one million, two hundred thousand".