10201012200020 has 24 divisors (see below), whose sum is σ = 22160819608200. Its totient is φ = 3939701263232.

The previous prime is 10201012199981. The next prime is 10201012200053. The reversal of 10201012200020 is 2000221010201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1904791940164 + 8296220259856 = 1380142^2 + 2880316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201012199974 and 10201012200010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8793975455 + ... + 8793976614.

It is an arithmetic number, because the mean of its divisors is an integer number (923367483675).

Almost surely, 2^{10201012200020} is an apocalyptic number.

10201012200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201012200020 is an abundant number, since it is smaller than the sum of its proper divisors (11959807408180).

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

10201012200020 is a wasteful number, since it uses less digits than its factorization.

10201012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17587952107 (or 17587952105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10201012200020 its reverse (2000221010201), we get a palindrome (12201233210221).

The spelling of 10201012200020 in words is "ten trillion, two hundred one billion, twelve million, two hundred thousand, twenty".