120121020220001 has 8 divisors (see below), whose sum is σ = 120211918429800. Its totient is φ = 120030131878272.

The previous prime is 120121020219961. The next prime is 120121020220009. The reversal of 120121020220001 is 100022020121021.

It can be written as a sum of positive squares in 4 ways, for example, as 36203988150625 + 83917032069376 = 6016975^2 + 9160624^2 .

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 120121020220001 - 2³⁸ = 119846142313057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120121020220009) 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, 21979175 + ... + 26894723.

It is an arithmetic number, because the mean of its divisors is an integer number (15026489803725).

Almost surely, 2^{120121020220001} is an apocalyptic number.

It is an amenable number.

120121020220001 is a deficient number, since it is larger than the sum of its proper divisors (90898209799).

120121020220001 is a wasteful number, since it uses less digits than its factorization.

120121020220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934035.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120121020220001 its reverse (100022020121021), we get a palindrome (220143040341022).

The spelling of 120121020220001 in words is "one hundred twenty trillion, one hundred twenty-one billion, twenty million, two hundred twenty thousand, one".