10100000011001 has 2 divisors, whose sum is σ = 10100000011002. Its totient is φ = 10100000011000.

The previous prime is 10100000010937. The next prime is 10100000011051. The reversal of 10100000011001 is 10011000000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10077101058025 + 22898952976 = 3174445^2 + 151324^2 .

It is an emirp because it is prime and its reverse (10011000000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000011001 - 2⁶ = 10100000010937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100000011051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000005500 + 5050000005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000005501).

Almost surely, 2^{10100000011001} is an apocalyptic number.

It is an amenable number.

10100000011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000011001 is an equidigital number, since it uses as much as digits as its factorization.

10100000011001 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 5.

Adding to 10100000011001 its reverse (10011000000101), we get a palindrome (20111000011102).

The spelling of 10100000011001 in words is "ten trillion, one hundred billion, eleven thousand, one".