2211111300 has 144 divisors (see below), whose sum is σ = 6514027520. Its totient is φ = 579000960.

The previous prime is 2211111289. The next prime is 2211111311. The reversal of 2211111300 is 31111122.

It is an interprime number because it is at equal distance from previous prime (2211111289) and next prime (2211111311).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5036481 + ... + 5036919.

Almost surely, 2^2211111300 is an apocalyptic number.

2211111300 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 2211111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257013760).

2211111300 is an abundant number, since it is smaller than the sum of its proper divisors (4302916220).

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

2211111300 is a wasteful number, since it uses less digits than its factorization.

2211111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 715 counting only the distinct ones).

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

The square root of 2211111300 is about 47022.4552740497. The cubic root of 2211111300 is about 1302.7773560396. Note that the first 3 decimals are identical.

Adding to 2211111300 its reverse (31111122), we get a palindrome (2242222422).

It can be divided in two parts, 22111 and 11300, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 2211111300 in words is "two billion, two hundred eleven million, one hundred eleven thousand, three hundred".