2001001000121 has 2 divisors, whose sum is σ = 2001001000122. Its totient is φ = 2001001000120.

The previous prime is 2001001000099. The next prime is 2001001000133. The reversal of 2001001000121 is 1210001001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1551678800896 + 449322199225 = 1245664^2 + 670315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001001000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001001000099 and 2001001000108.

It is not a weakly prime, because it can be changed into another prime (2001001000721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500500060 + 1000500500061.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500500061).

Almost surely, 2^{2001001000121} is an apocalyptic number.

It is an amenable number.

2001001000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001001000121 is an equidigital number, since it uses as much as digits as its factorization.

2001001000121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001001000121 its reverse (1210001001002), we get a palindrome (3211002001123).

The spelling of 2001001000121 in words is "two trillion, one billion, one million, one hundred twenty-one", and thus it is an aban number.