20003101000 has 192 divisors, whose sum is σ = 50836902480. Its totient is φ = 7338905600.

The previous prime is 20003100961. The next prime is 20003101003. The reversal of 20003101000 is 10130002.

It can be written as a sum of positive squares in 24 ways, for example, as 9883143396 + 10119957604 = 99414^2 + 100598^2 .

It is not an unprimeable number, because it can be changed into a prime (20003101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134248926 + ... + 134249074.

Almost surely, 2^20003101000 is an apocalyptic number.

20003101000 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 20003101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418451240).

20003101000 is an abundant number, since it is smaller than the sum of its proper divisors (30833801480).

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

20003101000 is a wasteful number, since it uses less digits than its factorization.

20003101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 20003101000 its reverse (10130002), we get a palindrome (20013231002).

The spelling of 20003101000 in words is "twenty billion, three million, one hundred one thousand".