2121002001001 has 8 divisors (see below), whose sum is σ = 2286833804360. Its totient is φ = 1955552740992.

The previous prime is 2121002000977. The next prime is 2121002001017. The reversal of 2121002001001 is 1001002001212.

It can be written as a sum of positive squares in 4 ways, for example, as 58891640976 + 2062110360025 = 242676^2 + 1436005^2 .

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 2121002001001 - 2²³ = 2120993612393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121002001071) 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, 95624316 + ... + 95646493.

It is an arithmetic number, because the mean of its divisors is an integer number (285854225545).

Almost surely, 2^{2121002001001} is an apocalyptic number.

It is an amenable number.

2121002001001 is a deficient number, since it is larger than the sum of its proper divisors (165831803359).

2121002001001 is a wasteful number, since it uses less digits than its factorization.

2121002001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191271675.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2121002001001 its reverse (1001002001212), we get a palindrome (3122004002213).

The spelling of 2121002001001 in words is "two trillion, one hundred twenty-one billion, two million, one thousand, one".