2101210000 has 100 divisors (see below), whose sum is σ = 5355473200. Its totient is φ = 796176000.

The previous prime is 2101209967. The next prime is 2101210009. The reversal of 2101210000 is 121012.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2101210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184471 + ... + 195529.

It is an arithmetic number, because the mean of its divisors is an integer number (53554732).

Almost surely, 2^2101210000 is an apocalyptic number.

2101210000 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 2101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677736600).

2101210000 is an abundant number, since it is smaller than the sum of its proper divisors (3254263200).

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

2101210000 is a wasteful number, since it uses less digits than its factorization.

2101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2101210000 is about 45838.9572307224. The cubic root of 2101210000 is about 1280.8250702704.

Adding to 2101210000 its reverse (121012), we get a palindrome (2101331012).

The spelling of 2101210000 in words is "two billion, one hundred one million, two hundred ten thousand".