1101112122120 has 64 divisors (see below), whose sum is σ = 3327448360320. Its totient is φ = 291486610944.

The previous prime is 1101112122113. The next prime is 1101112122193. The reversal of 1101112122120 is 212212111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101112122120.

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 15 ways as a sum of consecutive naturals, for example, 33472372 + ... + 33505251.

It is an arithmetic number, because the mean of its divisors is an integer number (51991380630).

Almost surely, 2^{1101112122120} is an apocalyptic number.

1101112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101112122120 is an abundant number, since it is smaller than the sum of its proper divisors (2226336238200).

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

1101112122120 is a wasteful number, since it uses less digits than its factorization.

1101112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66977774 (or 66977770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1101112122120 its reverse (212212111011), we get a palindrome (1313324233131).

The spelling of 1101112122120 in words is "one trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".