10003002020 has 96 divisors (see below), whose sum is σ = 23128592256. Its totient is φ = 3603891200.

The previous prime is 10003002001. The next prime is 10003002071. The reversal of 10003002020 is 2020030001.

It is a junction number, because it is equal to n+sod(n) for n = 10003001989 and 10003002007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19199360 + ... + 19199880.

It is an arithmetic number, because the mean of its divisors is an integer number (240922836).

Almost surely, 2^10003002020 is an apocalyptic number.

10003002020 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 10003002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564296128).

10003002020 is an abundant number, since it is smaller than the sum of its proper divisors (13125590236).

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

10003002020 is a wasteful number, since it uses less digits than its factorization.

10003002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10003002020 its reverse (2020030001), we get a palindrome (12023032021).

The spelling of 10003002020 in words is "ten billion, three million, two thousand, twenty".