2241122311100 has 144 divisors (see below), whose sum is σ = 5061055238400. Its totient is φ = 860483174400.

The previous prime is 2241122310991. The next prime is 2241122311121. The reversal of 2241122311100 is 11132211422.

2241122311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208801334 + ... + 208812066.

Almost surely, 2^{2241122311100} is an apocalyptic number.

2241122311100 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 2241122311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530527619200).

2241122311100 is an abundant number, since it is smaller than the sum of its proper divisors (2819932927300).

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

2241122311100 is a wasteful number, since it uses less digits than its factorization.

2241122311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2241122311100 its reverse (11132211422), we get a palindrome (2252254522522).

The spelling of 2241122311100 in words is "two trillion, two hundred forty-one billion, one hundred twenty-two million, three hundred eleven thousand, one hundred".