1020121122001 has 8 divisors (see below), whose sum is σ = 1025015812200. Its totient is φ = 1015234598400.

The previous prime is 1020121121963. The next prime is 1020121122019. The reversal of 1020121122001 is 1002211210201.

1020121122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 174636225 + 1019946485776 = 13215^2 + 1009924^2 .

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 1020121122001 - 2¹⁷ = 1020120990929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020121162001) 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, 1791150 + ... + 2290951.

It is an arithmetic number, because the mean of its divisors is an integer number (128126976525).

Almost surely, 2^{1020121122001} is an apocalyptic number.

It is an amenable number.

1020121122001 is a deficient number, since it is larger than the sum of its proper divisors (4894690199).

1020121122001 is an equidigital number, since it uses as much as digits as its factorization.

1020121122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083299.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020121122001 its reverse (1002211210201), we get a palindrome (2022332332202).

The spelling of 1020121122001 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one".