10020002000 has 80 divisors (see below), whose sum is σ = 24294129600. Its totient is φ = 3997123200.

The previous prime is 10020001993. The next prime is 10020002009. The reversal of 10020002000 is 20002001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020002009) 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, 751391 + ... + 764609.

It is an arithmetic number, because the mean of its divisors is an integer number (303676620).

Almost surely, 2^10020002000 is an apocalyptic number.

10020002000 is a gapful number since it is divisible by the number (10) 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 10020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147064800).

10020002000 is an abundant number, since it is smaller than the sum of its proper divisors (14274127600).

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

10020002000 is a wasteful number, since it uses less digits than its factorization.

10020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13621 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10020002000 its reverse (20002001), we get a palindrome (10040004001).

Subtracting from 10020002000 its reverse (20002001), we obtain a palindrome (9999999999).

The spelling of 10020002000 in words is "ten billion, twenty million, two thousand".