1001201101001 has 2 divisors, whose sum is σ = 1001201101002. Its totient is φ = 1001201101000.

The previous prime is 1001201100959. The next prime is 1001201101027. The reversal of 1001201101001 is 1001011021001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 849759486976 + 151441614025 = 921824^2 + 389155^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001201101001 - 2¹⁸ = 1001200838857 is a prime.

It is a super-2 number, since 2×1001201101001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001201101001.

It is not a weakly prime, because it can be changed into another prime (1001201101031) 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 as a sum of consecutive naturals, namely, 500600550500 + 500600550501.

It is an arithmetic number, because the mean of its divisors is an integer number (500600550501).

Almost surely, 2^{1001201101001} is an apocalyptic number.

It is an amenable number.

1001201101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001201101001 is an equidigital number, since it uses as much as digits as its factorization.

1001201101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001201101001 its reverse (1001011021001), we get a palindrome (2002212122002).

The spelling of 1001201101001 in words is "one trillion, one billion, two hundred one million, one hundred one thousand, one".