10100111101001 has 2 divisors, whose sum is σ = 10100111101002. Its totient is φ = 10100111101000.

The previous prime is 10100111100997. The next prime is 10100111101039. The reversal of 10100111101001 is 10010111100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8626438926400 + 1473672174601 = 2937080^2 + 1213949^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111101001 - 2² = 10100111100997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100111101001.

It is not a weakly prime, because it can be changed into another prime (10100111101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055550500 + 5050055550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055550501).

Almost surely, 2^{10100111101001} is an apocalyptic number.

It is an amenable number.

10100111101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111101001 is an equidigital number, since it uses as much as digits as its factorization.

10100111101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100111101001 its reverse (10010111100101), we get a palindrome (20110222201102).

The spelling of 10100111101001 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one".