1101211121120 has 192 divisors, whose sum is σ = 2973162931200. Its totient is φ = 381736642560.

The previous prime is 1101211121113. The next prime is 1101211121167. The reversal of 1101211121120 is 211211121011.

It is a junction number, because it is equal to n+sod(n) for n = 1101211121095 and 1101211121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895607 + ... + 4168713.

It is an arithmetic number, because the mean of its divisors is an integer number (15485223600).

Almost surely, 2^{1101211121120} is an apocalyptic number.

1101211121120 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 1101211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486581465600).

1101211121120 is an abundant number, since it is smaller than the sum of its proper divisors (1871951810080).

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

1101211121120 is a wasteful number, since it uses less digits than its factorization.

1101211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273241 (or 273233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101211121120 its reverse (211211121011), we get a palindrome (1312422242131).

The spelling of 1101211121120 in words is "one trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".