121000221101120 has 112 divisors (see below), whose sum is σ = 301416428458800. Its totient is φ = 46206050795520.

The previous prime is 121000221101113. The next prime is 121000221101129. The reversal of 121000221101120 is 21101122000121.

It can be written as a sum of positive squares in 8 ways, for example, as 577514883136 + 120422706217984 = 759944^2 + 10973728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121000221101095 and 121000221101104.

It is not an unprimeable number, because it can be changed into a prime (121000221101129) 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 15 ways as a sum of consecutive naturals, for example, 72425861 + ... + 74077700.

Almost surely, 2^{121000221101120} is an apocalyptic number.

121000221101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000221101120 is an abundant number, since it is smaller than the sum of its proper divisors (180416207357680).

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

121000221101120 is a wasteful number, since it uses less digits than its factorization.

121000221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146503696 (or 146503686 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121000221101120 its reverse (21101122000121), we get a palindrome (142101343101241).

The spelling of 121000221101120 in words is "one hundred twenty-one trillion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".