2201001011000 has 192 divisors, whose sum is σ = 5676413783040. Its totient is φ = 798201888000.

The previous prime is 2201001010997. The next prime is 2201001011017. The reversal of 2201001011000 is 1101001022.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 47 ways as a sum of consecutive naturals, for example, 45108617 + ... + 45157383.

It is an arithmetic number, because the mean of its divisors is an integer number (29564655120).

Almost surely, 2^{2201001011000} is an apocalyptic number.

2201001011000 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 2201001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838206891520).

2201001011000 is an abundant number, since it is smaller than the sum of its proper divisors (3475412772040).

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

2201001011000 is a wasteful number, since it uses less digits than its factorization.

2201001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49183 (or 49158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2201001011000 its reverse (1101001022), we get a palindrome (2202102012022).

The spelling of 2201001011000 in words is "two trillion, two hundred one billion, one million, eleven thousand".