2001121022000 has 80 divisors (see below), whose sum is σ = 4845006566400. Its totient is φ = 799406899200.

The previous prime is 2001121021997. The next prime is 2001121022003. The reversal of 2001121022000 is 2201211002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001121021997) and next prime (2001121022003).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2001121022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887441 + ... + 2188559.

It is an arithmetic number, because the mean of its divisors is an integer number (60562582080).

Almost surely, 2^{2001121022000} is an apocalyptic number.

2001121022000 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 2001121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422503283200).

2001121022000 is an abundant number, since it is smaller than the sum of its proper divisors (2843885544400).

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

2001121022000 is a wasteful number, since it uses less digits than its factorization.

2001121022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301911 (or 1301895 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001121022000 its reverse (2201211002), we get a palindrome (2003322233002).

The spelling of 2001121022000 in words is "two trillion, one billion, one hundred twenty-one million, twenty-two thousand".