2001221120096 has 192 divisors, whose sum is σ = 4479049903104. Its totient is φ = 872318976000.

The previous prime is 2001221120077. The next prime is 2001221120141. The reversal of 2001221120096 is 6900211221002.

It is a congruent number.

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, 162075395 + ... + 162087741.

It is an arithmetic number, because the mean of its divisors is an integer number (23328384912).

Almost surely, 2^{2001221120096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001221120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239524951552).

2001221120096 is an abundant number, since it is smaller than the sum of its proper divisors (2477828783008).

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

2001221120096 is a wasteful number, since it uses less digits than its factorization.

2001221120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 2001221120096 its reverse (6900211221002), we get a palindrome (8901432341098).

The spelling of 2001221120096 in words is "two trillion, one billion, two hundred twenty-one million, one hundred twenty thousand, ninety-six".