1101112121120 has 48 divisors (see below), whose sum is σ = 2837866243968. Its totient is φ = 400404407040.

The previous prime is 1101112121117. The next prime is 1101112121149. The reversal of 1101112121120 is 211212111011.

It is a junction number, because it is equal to n+sod(n) for n = 1101112121095 and 1101112121104.

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 7 ways as a sum of consecutive naturals, for example, 312814184 + ... + 312817703.

It is an arithmetic number, because the mean of its divisors is an integer number (59122213416).

Almost surely, 2^{1101112121120} is an apocalyptic number.

1101112121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101112121120 is an abundant number, since it is smaller than the sum of its proper divisors (1736754122848).

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

1101112121120 is a wasteful number, since it uses less digits than its factorization.

1101112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625631913 (or 625631905 counting only the distinct ones).

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

Adding to 1101112121120 its reverse (211212111011), we get a palindrome (1312324232131).

The spelling of 1101112121120 in words is "one trillion, one hundred one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".