2201011110320 has 160 divisors (see below), whose sum is σ = 5638723295040. Its totient is φ = 792329195520.

The previous prime is 2201011110301. The next prime is 2201011110341. The reversal of 2201011110320 is 230111101022.

It is a junction number, because it is equal to n+sod(n) for n = 2201011110295 and 2201011110304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116341502 + ... + 116360418.

It is an arithmetic number, because the mean of its divisors is an integer number (35242020594).

Almost surely, 2^{2201011110320} is an apocalyptic number.

2201011110320 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 2201011110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819361647520).

2201011110320 is an abundant number, since it is smaller than the sum of its proper divisors (3437712184720).

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

2201011110320 is a wasteful number, since it uses less digits than its factorization.

2201011110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20263 (or 20257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2201011110320 its reverse (230111101022), we get a palindrome (2431122211342).

The spelling of 2201011110320 in words is "two trillion, two hundred one billion, eleven million, one hundred ten thousand, three hundred twenty".