3001122121001 has 12 divisors (see below), whose sum is σ = 3188487422412. Its totient is φ = 2824191967488.

The previous prime is 3001122120947. The next prime is 3001122121037. The reversal of 3001122121001 is 1001212211003.

3001122121001 is digitally balanced in base 3, 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 6 ways, for example, as 1578591216400 + 1422530904601 = 1256420^2 + 1192699^2 .

It is not a de Polignac number, because 3001122121001 - 2¹⁸ = 3001121858857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001122121091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364711 + ... + 2804403.

It is an arithmetic number, because the mean of its divisors is an integer number (265707285201).

Almost surely, 2^{3001122121001} is an apocalyptic number.

It is an amenable number.

3001122121001 is a deficient number, since it is larger than the sum of its proper divisors (187365301411).

3001122121001 is a wasteful number, since it uses less digits than its factorization.

3001122121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446940 (or 1446923 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 3001122121001 its reverse (1001212211003), we get a palindrome (4002334332004).

The spelling of 3001122121001 in words is "three trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, one".