2100331000 has 64 divisors (see below), whose sum is σ = 4958534880. Its totient is φ = 832652800.

The previous prime is 2100330959. The next prime is 2100331007. The reversal of 2100331000 is 1330012.

It is a super-2 number, since 2×2100331000² = 8822780619122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100331007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103707 + ... + 122293.

Almost surely, 2^2100331000 is an apocalyptic number.

2100331000 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 2100331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479267440).

2100331000 is an abundant number, since it is smaller than the sum of its proper divisors (2858203880).

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

2100331000 is a wasteful number, since it uses less digits than its factorization.

2100331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18721 (or 18707 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2100331000 is about 45829.3683133425. The cubic root of 2100331000 is about 1280.6464426757.

Adding to 2100331000 its reverse (1330012), we get a palindrome (2101661012).

It can be divided in two parts, 21003 and 31000, that added together give a triangular number (52003 = T₃₂₂).

The spelling of 2100331000 in words is "two billion, one hundred million, three hundred thirty-one thousand".