10200010020 has 48 divisors (see below), whose sum is σ = 28565369280. Its totient is φ = 2719494016.

The previous prime is 10200010001. The next prime is 10200010063. The reversal of 10200010020 is 2001000201.

It is a happy number.

It is a super-3 number, since 3×10200010020³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10200009990 and 10200010008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395686 + ... + 420674.

It is an arithmetic number, because the mean of its divisors is an integer number (595111860).

Almost surely, 2^10200010020 is an apocalyptic number.

10200010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200010020 is an abundant number, since it is smaller than the sum of its proper divisors (18365359260).

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

10200010020 is a wasteful number, since it uses less digits than its factorization.

10200010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31804 (or 31802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10200010020 its reverse (2001000201), we get a palindrome (12201010221).

The spelling of 10200010020 in words is "ten billion, two hundred million, ten thousand, twenty".