2201010112000 has 320 divisors, whose sum is σ = 6287511859200. Its totient is φ = 752815104000.

The previous prime is 2201010111997. The next prime is 2201010112013. The reversal of 2201010112000 is 2110101022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193082301 + ... + 193093699.

It is an arithmetic number, because the mean of its divisors is an integer number (19648474560).

Almost surely, 2^{2201010112000} is an apocalyptic number.

2201010112000 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 2201010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143755929600).

2201010112000 is an abundant number, since it is smaller than the sum of its proper divisors (4086501747200).

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

2201010112000 is an equidigital number, since it uses as much as digits as its factorization.

2201010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2201010112000 its reverse (2110101022), we get a palindrome (2203120213022).

The spelling of 2201010112000 in words is "two trillion, two hundred one billion, ten million, one hundred twelve thousand".