2211111100000 has 288 divisors, whose sum is σ = 5946634328544. Its totient is φ = 802560000000.

The previous prime is 2211111099973. The next prime is 2211111100007. The reversal of 2211111100000 is 11111122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2211111100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211111100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727098480 + ... + 727101520.

It is an arithmetic number, because the mean of its divisors is an integer number (20648035863).

Almost surely, 2^{2211111100000} is an apocalyptic number.

2211111100000 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 2211111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973317164272).

2211111100000 is an abundant number, since it is smaller than the sum of its proper divisors (3735523228544).

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

2211111100000 is an equidigital number, since it uses as much as digits as its factorization.

2211111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2211111100000 its reverse (11111122), we get a palindrome (2211122211122).

It can be divided in two parts, 22111 and 11100000, that added together give a palindrome (11122111).

The spelling of 2211111100000 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred thousand".