2101032000 has 448 divisors, whose sum is σ = 7874081280. Its totient is φ = 548352000.

The previous prime is 2101031953. The next prime is 2101032047. The reversal of 2101032000 is 2301012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101031953) and next prime (2101032047).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15335932 + ... + 15336068.

Almost surely, 2^2101032000 is an apocalyptic number.

2101032000 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 2101032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937040640).

2101032000 is an abundant number, since it is smaller than the sum of its proper divisors (5773049280).

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

2101032000 is a wasteful number, since it uses less digits than its factorization.

2101032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2101032000 is about 45837.0156096577. The cubic root of 2101032000 is about 1280.7889016976.

Adding to 2101032000 its reverse (2301012), we get a palindrome (2103333012).

The spelling of 2101032000 in words is "two billion, one hundred one million, thirty-two thousand".