20032101000 has 192 divisors, whose sum is σ = 68144572080. Its totient is φ = 5307494400.

The previous prime is 20032100993. The next prime is 20032101029. The reversal of 20032101000 is 10123002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3516252804 + 16515848196 = 59298^2 + 128514^2 .

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 47 ways as a sum of consecutive naturals, for example, 1405912 + ... + 1420088.

Almost surely, 2^20032101000 is an apocalyptic number.

20032101000 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 20032101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34072286040).

20032101000 is an abundant number, since it is smaller than the sum of its proper divisors (48112471080).

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

20032101000 is a wasteful number, since it uses less digits than its factorization.

20032101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361 (or 14344 counting only the distinct ones).

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

Adding to 20032101000 its reverse (10123002), we get a palindrome (20042224002).

The spelling of 20032101000 in words is "twenty billion, thirty-two million, one hundred one thousand".