1101222100000 has 288 divisors, whose sum is σ = 2973086835264. Its totient is φ = 398160000000.

The previous prime is 1101222099977. The next prime is 1101222100037. The reversal of 1101222100000 is 12221011.

It is a super-2 number, since 2×1101222100000² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1101222100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199097235 + ... + 199102765.

It is an arithmetic number, because the mean of its divisors is an integer number (10323218178).

Almost surely, 2^{1101222100000} is an apocalyptic number.

1101222100000 is a gapful number since it is divisible by the number (10) 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 1101222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486543417632).

1101222100000 is an abundant number, since it is smaller than the sum of its proper divisors (1871864735264).

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

1101222100000 is an equidigital number, since it uses as much as digits as its factorization.

1101222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1101222100000 its reverse (12221011), we get a palindrome (1101234321011).

It can be divided in two parts, 110122 and 2100000, that added together give a palindrome (2210122).

The spelling of 1101222100000 in words is "one trillion, one hundred one billion, two hundred twenty-two million, one hundred thousand".