2201010313200 has 120 divisors (see below), whose sum is σ = 7054990729968. Its totient is φ = 586568048640.

The previous prime is 2201010313193. The next prime is 2201010313259. The reversal of 2201010313200 is 23130101022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201010313200.

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 23 ways as a sum of consecutive naturals, for example, 1342144 + ... + 2490656.

Almost surely, 2^{2201010313200} is an apocalyptic number.

2201010313200 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 2201010313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527495364984).

2201010313200 is an abundant number, since it is smaller than the sum of its proper divisors (4853980416768).

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

2201010313200 is a wasteful number, since it uses less digits than its factorization.

2201010313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150131 (or 1150120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2201010313200 its reverse (23130101022), we get a palindrome (2224140414222).

The spelling of 2201010313200 in words is "two trillion, two hundred one billion, ten million, three hundred thirteen thousand, two hundred".