201020112120 has 128 divisors (see below), whose sum is σ = 608188538880. Its totient is φ = 53151360000.

The previous prime is 201020112103. The next prime is 201020112121. The reversal of 201020112120 is 21211020102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201020112096 and 201020112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7114020 + ... + 7142220.

It is an arithmetic number, because the mean of its divisors is an integer number (4751472960).

Almost surely, 2^201020112120 is an apocalyptic number.

201020112120 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 201020112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304094269440).

201020112120 is an abundant number, since it is smaller than the sum of its proper divisors (407168426760).

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

201020112120 is a wasteful number, since it uses less digits than its factorization.

201020112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28717 (or 28713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201020112120 its reverse (21211020102), we get a palindrome (222231132222).

The spelling of 201020112120 in words is "two hundred one billion, twenty million, one hundred twelve thousand, one hundred twenty".