1000201102001 has 2 divisors, whose sum is σ = 1000201102002. Its totient is φ = 1000201102000.

The previous prime is 1000201101973. The next prime is 1000201102037. The reversal of 1000201102001 is 1002011020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 681483270400 + 318717831601 = 825520^2 + 564551^2 .

It is an emirp because it is prime and its reverse (1002011020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000201102001 - 2¹⁴ = 1000201085617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000201102001.

It is not a weakly prime, because it can be changed into another prime (1000201102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500100551000 + 500100551001.

It is an arithmetic number, because the mean of its divisors is an integer number (500100551001).

Almost surely, 2^{1000201102001} is an apocalyptic number.

It is an amenable number.

1000201102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000201102001 is an equidigital number, since it uses as much as digits as its factorization.

1000201102001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1000201102001 its reverse (1002011020001), we get a palindrome (2002212122002).

It can be divided in two parts, 100020 and 1102001, that added together give a palindrome (1202021).

The spelling of 1000201102001 in words is "one trillion, two hundred one million, one hundred two thousand, one".