201000201221120 has 528 divisors, whose sum is σ = 570398788926720. Its totient is φ = 67746786508800.

The previous prime is 201000201221119. The next prime is 201000201221123. The reversal of 201000201221120 is 21122102000102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201000201221095 and 201000201221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000201221123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47732175815 + ... + 47732180025.

Almost surely, 2^{201000201221120} is an apocalyptic number.

201000201221120 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 201000201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285199394463360).

201000201221120 is an abundant number, since it is smaller than the sum of its proper divisors (369398587705600).

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

201000201221120 is a wasteful number, since it uses less digits than its factorization.

201000201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 7405 counting only the distinct ones).

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

Adding to 201000201221120 its reverse (21122102000102), we get a palindrome (222122303221222).

The spelling of 201000201221120 in words is "two hundred one trillion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".