201020212101020 has 48 divisors (see below), whose sum is σ = 455431126354848. Its totient is φ = 74089592828160.

The previous prime is 201020212100951. The next prime is 201020212101029. The reversal of 201020212101020 is 20101212020102.

It is a junction number, because it is equal to n+sod(n) for n = 201020212100986 and 201020212101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020212101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693889886 + ... + 694179525.

It is an arithmetic number, because the mean of its divisors is an integer number (9488148465726).

Almost surely, 2^{201020212101020} is an apocalyptic number.

201020212101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020212101020 is an abundant number, since it is smaller than the sum of its proper divisors (254410914253828).

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

201020212101020 is a wasteful number, since it uses less digits than its factorization.

201020212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388069990 (or 1388069988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201020212101020 its reverse (20101212020102), we get a palindrome (221121424121122).

The spelling of 201020212101020 in words is "two hundred one trillion, twenty billion, two hundred twelve million, one hundred one thousand, twenty".