120121343121021 has 64 divisors (see below), whose sum is σ = 178038159667200. Its totient is φ = 72028153032000.

The previous prime is 120121343121011. The next prime is 120121343121103.

120121343121021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120121343121021 - 2¹⁰ = 120121343119997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120121343120982 and 120121343121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121343121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564100456 + ... + 564313358.

It is an arithmetic number, because the mean of its divisors is an integer number (2781846244800).

Almost surely, 2^{120121343121021} is an apocalyptic number.

120121343121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120121343121021 is a deficient number, since it is larger than the sum of its proper divisors (57916816546179).

120121343121021 is a wasteful number, since it uses less digits than its factorization.

120121343121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214439 (or 214417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 120121343121021 in words is "one hundred twenty trillion, one hundred twenty-one billion, three hundred forty-three million, one hundred twenty-one thousand, twenty-one".