201020102010020 has 48 divisors (see below), whose sum is σ = 422242241904000. Its totient is φ = 80388990205440.

The previous prime is 201020102010017. The next prime is 201020102010029. The reversal of 201020102010020 is 20010201020102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201020102009983 and 201020102010010.

It is not an unprimeable number, because it can be changed into a prime (201020102010029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609141121 + ... + 1609266039.

It is an arithmetic number, because the mean of its divisors is an integer number (8796713373000).

Almost surely, 2^{201020102010020} is an apocalyptic number.

201020102010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020102010020 is an abundant number, since it is smaller than the sum of its proper divisors (221222139893980).

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

201020102010020 is a wasteful number, since it uses less digits than its factorization.

201020102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143348 (or 143346 counting only the distinct ones).

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

Adding to 201020102010020 its reverse (20010201020102), we get a palindrome (221030303030122).

The spelling of 201020102010020 in words is "two hundred one trillion, twenty billion, one hundred two million, ten thousand, twenty".