10201010020 has 24 divisors (see below), whose sum is σ = 21424032504. Its totient is φ = 4080039936.

The previous prime is 10201009991. The next prime is 10201010059. The reversal of 10201010020 is 2001010201.

It can be written as a sum of positive squares in 4 ways, for example, as 2811544576 + 7389465444 = 53024^2 + 85962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201009985 and 10201010012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386692 + ... + 412228.

It is an arithmetic number, because the mean of its divisors is an integer number (892668021).

Almost surely, 2^10201010020 is an apocalyptic number.

10201010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201010020 is an abundant number, since it is smaller than the sum of its proper divisors (11223022484).

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

10201010020 is a wasteful number, since it uses less digits than its factorization.

10201010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45519 (or 45517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10201010020 its reverse (2001010201), we get a palindrome (12202020221).

The spelling of 10201010020 in words is "ten billion, two hundred one million, ten thousand, twenty".