120121221010001 has 8 divisors (see below), whose sum is σ = 121322878116264. Its totient is φ = 118919805827200.

The previous prime is 120121221009991. The next prime is 120121221010033. The reversal of 120121221010001 is 100010122121021.

It can be written as a sum of positive squares in 4 ways, for example, as 15195534441025 + 104925686568976 = 3898145^2 + 10243324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120121221010001 - 2⁴⁶ = 49752476832337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120121221010801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59482766 + ... + 61469031.

It is an arithmetic number, because the mean of its divisors is an integer number (15165359764533).

Almost surely, 2^{120121221010001} is an apocalyptic number.

It is an amenable number.

120121221010001 is a deficient number, since it is larger than the sum of its proper divisors (1201657106263).

120121221010001 is a wasteful number, since it uses less digits than its factorization.

120121221010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120961731.

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

Adding to 120121221010001 its reverse (100010122121021), we get a palindrome (220131343131022).

The spelling of 120121221010001 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, ten thousand, one".