2000001022001 has 2 divisors, whose sum is σ = 2000001022002. Its totient is φ = 2000001022000.

The previous prime is 2000001021983. The next prime is 2000001022039. The reversal of 2000001022001 is 1002201000002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1853464416400 + 146536605601 = 1361420^2 + 382801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000001022001 - 2⁶ = 2000001021937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000001022001.

It is not a weakly prime, because it can be changed into another prime (2000001021001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000000511000 + 1000000511001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000000511001).

Almost surely, 2^{2000001022001} is an apocalyptic number.

It is an amenable number.

2000001022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000001022001 is an equidigital number, since it uses as much as digits as its factorization.

2000001022001 is an evil number, because the sum of its binary digits is even.

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

Adding to 2000001022001 its reverse (1002201000002), we get a palindrome (3002202022003).

The spelling of 2000001022001 in words is "two trillion, one million, twenty-two thousand, one".