10101101001001 has 2 divisors, whose sum is σ = 10101101001002. Its totient is φ = 10101101001000.

The previous prime is 10101101000989. The next prime is 10101101001041. The reversal of 10101101001001 is 10010010110101.

It is a happy number.

10101101001001 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., 10098565374976 + 2535626025 = 3177824^2 + 50355^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101001001 - 2¹³ = 10101100992809 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101101001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550500500 + 5050550500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550500501).

Almost surely, 2^{10101101001001} is an apocalyptic number.

It is an amenable number.

10101101001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101001001 is an equidigital number, since it uses as much as digits as its factorization.

10101101001001 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 10101101001001 its reverse (10010010110101), we get a palindrome (20111111111102).

The spelling of 10101101001001 in words is "ten trillion, one hundred one billion, one hundred one million, one thousand, one".