10001101011001 has 2 divisors, whose sum is σ = 10001101011002. Its totient is φ = 10001101011000.

The previous prime is 10001101010977. The next prime is 10001101011061. The reversal of 10001101011001 is 10011010110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6049656756025 + 3951444254976 = 2459605^2 + 1987824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101011001 - 2⁵ = 10001101010969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001101011061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550505500 + 5000550505501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550505501).

Almost surely, 2^{10001101011001} is an apocalyptic number.

It is an amenable number.

10001101011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101011001 is an equidigital number, since it uses as much as digits as its factorization.

10001101011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10001101011001 its reverse (10011010110001), we get a palindrome (20012111121002).

The spelling of 10001101011001 in words is "ten trillion, one billion, one hundred one million, eleven thousand, one".