120221112110121 has 72 divisors (see below), whose sum is σ = 196102926819072. Its totient is φ = 70884022809600.

The previous prime is 120221112110117. The next prime is 120221112110129. The reversal of 120221112110121 is 121011211122021.

It is a happy number.

120221112110121 is a `hidden beast` number, since 1 + 202 + 211 + 121 + 10 + 121 = 666.

It is not a de Polignac number, because 120221112110121 - 2² = 120221112110117 is a prime.

It is a super-2 number, since 2×120221112110121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120221112110094 and 120221112110103.

It is not an unprimeable number, because it can be changed into a prime (120221112110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1515081 + ... + 15580041.

It is an arithmetic number, because the mean of its divisors is an integer number (2723651761376).

Almost surely, 2^{120221112110121} is an apocalyptic number.

120221112110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120221112110121 is a deficient number, since it is larger than the sum of its proper divisors (75881814708951).

120221112110121 is a wasteful number, since it uses less digits than its factorization.

120221112110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065203 (or 14065189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120221112110121 its reverse (121011211122021), we get a palindrome (241232323232142).

The spelling of 120221112110121 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twelve million, one hundred ten thousand, one hundred twenty-one".