2100100000 has 72 divisors (see below), whose sum is σ = 5168130156. Its totient is φ = 840000000.

The previous prime is 2100099979. The next prime is 2100100033. The reversal of 2100100000 is 10012.

It can be written as a sum of positive squares in 6 ways, for example, as 493372944 + 1606727056 = 22212^2 + 40084^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89500 + ... + 110500.

Almost surely, 2^2100100000 is an apocalyptic number.

2100100000 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 2100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584065078).

2100100000 is an abundant number, since it is smaller than the sum of its proper divisors (3068030156).

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

2100100000 is an frugal number, since it uses more digits than its factorization.

2100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21036 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2100100000 is about 45826.8480260207. The cubic root of 2100100000 is about 1280.5994913183.

Adding to 2100100000 its reverse (10012), we get a palindrome (2100110012).

The spelling of 2100100000 in words is "two billion, one hundred million, one hundred thousand".