10002011101001 has 2 divisors, whose sum is σ = 10002011101002. Its totient is φ = 10002011101000.

The previous prime is 10002011100953. The next prime is 10002011101003. The reversal of 10002011101001 is 10010111020001.

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., 7768483840000 + 2233527261001 = 2787200^2 + 1494499^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002011101001 - 2³⁸ = 9727133194057 is a prime.

Together with 10002011101003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002011101001.

It is not a weakly prime, because it can be changed into another prime (10002011101003) 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, 5001005550500 + 5001005550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5001005550501).

Almost surely, 2^{10002011101001} is an apocalyptic number.

It is an amenable number.

10002011101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002011101001 is an equidigital number, since it uses as much as digits as its factorization.

10002011101001 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 10002011101001 its reverse (10010111020001), we get a palindrome (20012122121002).

The spelling of 10002011101001 in words is "ten trillion, two billion, eleven million, one hundred one thousand, one".