1001011010401 has 2 divisors, whose sum is σ = 1001011010402. Its totient is φ = 1001011010400.

The previous prime is 1001011010393. The next prime is 1001011010443. The reversal of 1001011010401 is 1040101101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800665250401 + 200345760000 = 894799^2 + 447600^2 .

It is an emirp because it is prime and its reverse (1040101101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001011010401 - 2³ = 1001011010393 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001011010491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505505200 + 500505505201.

It is an arithmetic number, because the mean of its divisors is an integer number (500505505201).

Almost surely, 2^{1001011010401} is an apocalyptic number.

It is an amenable number.

1001011010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011010401 is an equidigital number, since it uses as much as digits as its factorization.

1001011010401 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 10.

Adding to 1001011010401 its reverse (1040101101001), we get a palindrome (2041112111402).

The spelling of 1001011010401 in words is "one trillion, one billion, eleven million, ten thousand, four hundred one".