2211221010000 has 800 divisors, whose sum is σ = 7630997299200. Its totient is φ = 550575360000.

The previous prime is 2211221009981. The next prime is 2211221010001. The reversal of 2211221010000 is 101221122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211221010001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6159389821 + ... + 6159390179.

It is an arithmetic number, because the mean of its divisors is an integer number (9538746624).

Almost surely, 2^{2211221010000} is an apocalyptic number.

2211221010000 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 2211221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815498649600).

2211221010000 is an abundant number, since it is smaller than the sum of its proper divisors (5419776289200).

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

2211221010000 is a wasteful number, since it uses less digits than its factorization.

2211221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2211221010000 its reverse (101221122), we get a palindrome (2211322231122).

The spelling of 2211221010000 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, ten thousand".