2211101120000 has 200 divisors, whose sum is σ = 5529328904616. Its totient is φ = 883040256000.

The previous prime is 2211101119999. The next prime is 2211101120009. The reversal of 2211101120000 is 211011122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211101120009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 215354867 + ... + 215365133.

Almost surely, 2^{2211101120000} is an apocalyptic number.

2211101120000 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 2211101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764664452308).

2211101120000 is an abundant number, since it is smaller than the sum of its proper divisors (3318227784616).

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

2211101120000 is an frugal number, since it uses more digits than its factorization.

2211101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2211101120000 its reverse (211011122), we get a palindrome (2211312131122).

The spelling of 2211101120000 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred twenty thousand".