1101102012120 has 256 divisors, whose sum is σ = 3830836032000. Its totient is φ = 250380288000.

The previous prime is 1101102012107. The next prime is 1101102012193. The reversal of 1101102012120 is 212102011011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101102012096 and 1101102012105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2315736 + ... + 2750424.

It is an arithmetic number, because the mean of its divisors is an integer number (14964203250).

Almost surely, 2^{1101102012120} is an apocalyptic number.

1101102012120 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 1101102012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915418016000).

1101102012120 is an abundant number, since it is smaller than the sum of its proper divisors (2729734019880).

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

1101102012120 is a wasteful number, since it uses less digits than its factorization.

1101102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434834 (or 434830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101102012120 its reverse (212102011011), we get a palindrome (1313204023131).

The spelling of 1101102012120 in words is "one trillion, one hundred one billion, one hundred two million, twelve thousand, one hundred twenty".