201020112110020 has 288 divisors, whose sum is σ = 524656520011008. Its totient is φ = 63329339179008.

The previous prime is 201020112109979. The next prime is 201020112110021. The reversal of 201020112110020 is 20011211020102.

It is not an unprimeable number, because it can be changed into a prime (201020112110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3954494524 + ... + 3954545356.

It is an arithmetic number, because the mean of its divisors is an integer number (1821724027816).

Almost surely, 2^{201020112110020} is an apocalyptic number.

201020112110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020112110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262328260005504).

201020112110020 is an abundant number, since it is smaller than the sum of its proper divisors (323636407900988).

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

201020112110020 is a wasteful number, since it uses less digits than its factorization.

201020112110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53199 (or 53180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201020112110020 its reverse (20011211020102), we get a palindrome (221031323130122).

The spelling of 201020112110020 in words is "two hundred one trillion, twenty billion, one hundred twelve million, one hundred ten thousand, twenty".