10032010020 has 72 divisors (see below), whose sum is σ = 31479771960. Its totient is φ = 2582952960.

The previous prime is 10032010019. The next prime is 10032010061. The reversal of 10032010020 is 2001023001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132158016 + 9899852004 = 11496^2 + 99498^2 .

It is a super-5 number, since 5×10032010020⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10032009984 and 10032010011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955701 + ... + 966140.

It is an arithmetic number, because the mean of its divisors is an integer number (437219055).

Almost surely, 2^10032010020 is an apocalyptic number.

10032010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032010020 is an abundant number, since it is smaller than the sum of its proper divisors (21447761940).

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

10032010020 is a wasteful number, since it uses less digits than its factorization.

10032010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921885 (or 1921880 counting only the distinct ones).

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

Adding to 10032010020 its reverse (2001023001), we get a palindrome (12033033021).

The spelling of 10032010020 in words is "ten billion, thirty-two million, ten thousand, twenty".