2201001122320 has 960 divisors, whose sum is σ = 7075294437888. Its totient is φ = 623361024000.

The previous prime is 2201001122263. The next prime is 2201001122347. The reversal of 2201001122320 is 232211001022.

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 = 2201001122294 and 2201001122303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12722549754 + ... + 12722549926.

Almost surely, 2^{2201001122320} is an apocalyptic number.

2201001122320 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 2201001122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537647218944).

2201001122320 is an abundant number, since it is smaller than the sum of its proper divisors (4874293315568).

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

2201001122320 is a wasteful number, since it uses less digits than its factorization.

2201001122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 312 counting only the distinct ones).

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

Adding to 2201001122320 its reverse (232211001022), we get a palindrome (2433212123342).

The spelling of 2201001122320 in words is "two trillion, two hundred one billion, one million, one hundred twenty-two thousand, three hundred twenty".