121101000111120 has 160 divisors (see below), whose sum is σ = 375738236928000. Its totient is φ = 32265639470592.

The previous prime is 121101000111089. The next prime is 121101000111121. The reversal of 121101000111120 is 21111000101121.

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 = 121101000111096 and 121101000111105.

It is not an unprimeable number, because it can be changed into a prime (121101000111121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2151004731 + ... + 2151061029.

It is an arithmetic number, because the mean of its divisors is an integer number (2348363980800).

Almost surely, 2^{121101000111120} is an apocalyptic number.

121101000111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101000111120 is an abundant number, since it is smaller than the sum of its proper divisors (254637236816880).

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

121101000111120 is a wasteful number, since it uses less digits than its factorization.

121101000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63917 (or 63911 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121101000111120 its reverse (21111000101121), we get a palindrome (142212000212241).

Subtracting from 121101000111120 its reverse (21111000101121), we obtain a palindrome (99990000009999).

The spelling of 121101000111120 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred eleven thousand, one hundred twenty".