20102032000 has 128 divisors (see below), whose sum is σ = 50072677200. Its totient is φ = 8025702400.

The previous prime is 20102031923. The next prime is 20102032003. The reversal of 20102032000 is 23020102.

It can be written as a sum of positive squares in 8 ways, for example, as 544568896 + 19557463104 = 23336^2 + 139848^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (20102032003) 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, 12943224 + ... + 12944776.

Almost surely, 2^20102032000 is an apocalyptic number.

20102032000 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 20102032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25036338600).

20102032000 is an abundant number, since it is smaller than the sum of its proper divisors (29970645200).

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

20102032000 is an equidigital number, since it uses as much as digits as its factorization.

20102032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20102032000 its reverse (23020102), we get a palindrome (20125052102).

The spelling of 20102032000 in words is "twenty billion, one hundred two million, thirty-two thousand".