201302221120 has 336 divisors, whose sum is σ = 648491163264. Its totient is φ = 57916108800.

The previous prime is 201302221069. The next prime is 201302221123. The reversal of 201302221120 is 21122203102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201302221094 and 201302221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201302221123) 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, 3494955 + ... + 3552085.

It is an arithmetic number, because the mean of its divisors is an integer number (1930033224).

Almost surely, 2^201302221120 is an apocalyptic number.

201302221120 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 201302221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324245581632).

201302221120 is an abundant number, since it is smaller than the sum of its proper divisors (447188942144).

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

201302221120 is a wasteful number, since it uses less digits than its factorization.

201302221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57190 (or 57169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201302221120 its reverse (21122203102), we get a palindrome (222424424222).

The spelling of 201302221120 in words is "two hundred one billion, three hundred two million, two hundred twenty-one thousand, one hundred twenty".