10100110101001 has 2 divisors, whose sum is σ = 10100110101002. Its totient is φ = 10100110101000.

The previous prime is 10100110100999. The next prime is 10100110101043. The reversal of 10100110101001 is 10010101100101.

It is a happy number.

10100110101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6316400430025 + 3783709670976 = 2513245^2 + 1945176^2 .

It is an emirp because it is prime and its reverse (10010101100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100110101001 - 2¹ = 10100110100999 is a prime.

Together with 10100110100999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100110101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055050500 + 5050055050501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055050501).

Almost surely, 2^{10100110101001} is an apocalyptic number.

It is an amenable number.

10100110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110101001 is an equidigital number, since it uses as much as digits as its factorization.

10100110101001 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 10100110101001 its reverse (10010101100101), we get a palindrome (20110211201102).

The spelling of 10100110101001 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one thousand, one".