2211220110000 has 400 divisors, whose sum is σ = 7914761065728. Its totient is φ = 527260800000.

The previous prime is 2211220109957. The next prime is 2211220110007. The reversal of 2211220110000 is 110221122.

2211220110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (2211220110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20075077 + ... + 20184923.

Almost surely, 2^{2211220110000} is an apocalyptic number.

2211220110000 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 2211220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957380532864).

2211220110000 is an abundant number, since it is smaller than the sum of its proper divisors (5703540955728).

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

2211220110000 is a wasteful number, since it uses less digits than its factorization.

2211220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109950 (or 109929 counting only the distinct ones).

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

Adding to 2211220110000 its reverse (110221122), we get a palindrome (2211330331122).

It can be divided in two parts, 221 and 1220110000, that added together give a palindrome (1220110221).

The spelling of 2211220110000 in words is "two trillion, two hundred eleven billion, two hundred twenty million, one hundred ten thousand".